SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                             ---------------------

                                 SCHEDULE 13E-3

                        RULE 13E-3 TRANSACTION STATEMENT
       (PURSUANT TO SECTION 13(E) OF THE SECURITIES EXCHANGE ACT OF 1934)

                            TRI-COUNTY BANCORP, INC.
                            ------------------------
                                (Name of Issuer)

                            TRI-COUNTY BANCORP, INC.
                            ------------------------
                      (Name of Person(s) Filing Statement)

                          Common Stock, $.10 par value
                          ----------------------------
                         (Title of Class of Securities)

                                  895452 10 0 
                      -------------------------------------
                      (CUSIP Number of Class of Securities)

                                Robert L. Savage
                            Tri-County Bancorp, Inc.
                                2201 Main Street
                    Torrington, Wyoming 82240 (307) 532-2111 
- --------------------------------------------------------------------------------
 (Name, Address and Telephone Number of Person Authorized to Receive Notices and
           Communications on Behalf of the Person(s) Filing Statement)

         This statement is filed in connection with (check the appropriate box):

         a.       [ ]     The filing of solicitation materials or an information
                          statement subject to Regulation 14A, Regulation 14C or
                          Rule 13e-3(c) under  the  Securities  Exchange  Act of
                          1934.

         b.       [ ]     The  filing  of  a  registration  statement  under the
                          Securities Act of 1993.

         c.       [X]     A tender offer.

         d.       [ ]     None of the above.

         Check  the  following  box  if  the soliciting materials or information
         statement referred to in checking box (a) are preliminary copies:  [ ]

                            CALCULATION OF FILING FEE
- --------------------------------------------------------------------------------
         Transaction Valuation*                       Amount of filing fee
                  $4,382,000                               $876.40      
- --------------------------------------------------------------------------------

     *For purposes of calculating the filing fee only. This assumes the purchase
     of 313,000 shares of common stock of the Issuer at the maximum tender offer
     price per share of  $14.00.  The amount of the filing  fee,  calculated  in
     accordance with Regulation 240.0-11 of the Securities Exchange Act of 1934,
     equals 1/50th of one percentum of the value of the shares to be purchased.

     [X]  Check  box if any  part  of the  fee is  offset  as  provided  by Rule
          0-11(a)(2)  and identify the filing with which the  offsetting fee was
          previously   paid.   Identify  the  previous  filing  by  registration
          statement number, or the Form or Schedule and the date of its filing.

Amount Previously Paid:    876.40         Filing Party: Tri-County Bancorp, Inc.
Form or Registration No.:  Schedule 13E-4 Date Filed:   October 20, 1998



         This Rule 13E-3  Transaction  Statement  is being  filed by  Tri-County
Bancorp,  Inc., a Wyoming  corporation  (the  "Company") in connection  with the
issuer tender offer to be made by the Company to its stockholders to purchase up
to 313,000  shares of its  outstanding  Common Stock,  par value $0.10 per share
(the  "Shares")  at prices of not  greater  than $14.00 nor less than $11.00 per
Share net to the Seller in cash,  upon the terms and  subject to the  conditions
set forth in the Company's Offer to Purchase, dated October 23, 1998 (the "Offer
to Purchase")  and in the  accompanying  Letter of  Transmittal,  which together
constitute the "Offer,"  copies of which are filed as Exhibits (d)(1) and (d)(2)
hereto,  respectively.   Unless  otherwise  indicate,  all  references  in  this
Statement are to the Offer to Purchase.

         The  cross-reference  sheet below is being supplied pursuant to General
Instruction  F to Schedule  13E-3 and shows the location in the  Schedule  13E-4
filed by the Company with the  Securities and Exchange  Commission  concurrently
herewith required to be included in response to the items of this Statement. The
information in such Schedule 13E-4 is hereby  expressly  incorporated  herein by
reference.  A copy of such Schedule 13E-4 of the Company (excluding exhibits) is
attached hereto as Exhibit (f)(1).

                              CROSS REFERENCE SHEET

                  Item in                                  Location in
                  Schedule 13E-3                           Schedule 13E-4
                  --------------                           --------------

                  Item 1(a)                                Item 1(a)
                  Item 1(b)                                Item 1(b)
                  Item 1(c)                                Item 1(c)
                  Item 1(d)                                    *
                  Item 1(e)                                    *
                  Item 1(f)                                    *
                  Item 2                                   Item 1(d)
                  Item 3                                       *
                  Item 4                                       *
                  Item 5                                   Item 3
                  Item 6                                   Item 2
                  Item 7                                   Item 3
                  Item 8                                       *
                  Item 9                                       *
                  Item 10(a)                                   *
                  Item 10(b)                               Item 4
                  Item 11                                  Item 5
                  Item 12                                      *
                  Item 13                                      *
                  Item 14                                  Item 7
                  Item 15(a)                                   *
                  Item 15(b)                               Item 6
                  Item 16                                  Item 8
                  Item 17                         Separately included herewith

                               
- -----------------          
         *  This Item is inapplicable or the answer thereto is in the negative.


                                        2



1.   Issuer and Class of Security Subject to the Transaction.

     (a)  The name of the  issuer is  Tri-County  Bancorp,  Inc.  Its  principal
          executive office is at 2201 Main Street, Torrington, Wyoming 82240.

     (b)  The title, amount of securities outstanding of the class of securities
          which is the subject of this Schedule 13E-3 and the approximate number
          of holders of record of such class are set forth in the section titled
          "INTRODUCTION" in the Offer to Purchase,  which is incorporated herein
          by reference.

     (c)  The principal  market in which the securities are being traded and the
          high and low bid  quotations  are set forth in the section titled "THE
          OFFER -- Price Range of Shares;  Dividends"  in the Offer to Purchase,
          which is incorporated herein by reference.

     (d)  Information  as to dividends paid by the Company and the effect on the
          ability to pay future  dividends  is set forth in the  section  titled
          "THE  OFFER  -- Price  Range of  Shares;  Dividends"  in the  Offer to
          Purchase, which is incorporated herein by reference.

     (e)  No underwritten  public offering of the Company's  securities has been
          made by the persons filing this Statement during the past three years.

     (f)  Information  required  by this  paragraph  of Item 1 is set  forth  in
          Schedule A -- Previous  Stock  Repurchases"  in the Offer to Purchase,
          which information is incorporated herein by reference.

2. Identity and Background.

     (a-d) and (g)  This  Statement is being filed by the Company and the Trust.
                    The   information   set   forth   in  the   section   titled
                    "INTRODUCTION"  and in  Schedule A to the Offer to  Purchase
                    are incorporated herein by reference.

      (e-f)         Neither  the  Company,  nor,  to the  best of the  Company's
                    knowledge,  any of the  persons  listed in Schedule A to the
                    Offer to  Purchase,  has during the last five years (i) been
                    convicted  in  a  criminal  proceeding   (excluding  traffic
                    violations or similar  misdemeanors) or (ii) been a party to
                    a civil proceeding of a judicial or  administrative  body of
                    competent  jurisdiction  and as a result of such  proceeding
                    was or is  subject  to a  judgment,  decree  or final  order
                    enjoining further  violations of, or prohibiting  activities
                    subject to, federal or state  securities laws or finding any
                    violation of such laws.

3. Past Contacts, Transactions or Negotiations.

       (a-b)        The  information  required  by this Item is set forth in the
                    sections   titled   "INTRODUCTION,"   "SPECIAL   FACTORS  --
                    Background  of the Offer,"  "SPECIAL  FACTORS -- Fairness of
                    the   Transaction,"   "SPECIAL  FACTORS  -  -  Interests  of
                    Directors   and   Executive   Officers;   Transactions   and
                    Arrangements  Concerning  Shares," and "THE OFFER -- Certain
                    Information Concerning the

                                        3




                    Company"  in  the  Offer  to  Purchase,  each  of  which  is
                    incorporated herein by reference.

4. Terms of the Transaction.

          (a)  The  material  terms of the Offer are  described  in the sections
               titled  "INTRODUCTION"  and "THE OFFER" in the Offer to Purchase,
               each of which is incorporated herein by reference.

          (b)  There are no terms or arrangements  concerning the Offer relating
               to any  stockholder  of the Company  which are not  identical  to
               those relating to other holders of Shares, except as set forth in
               the  sections  titled  "INTRODUCTION"  and  "SPECIAL  FACTORS  --
               Interests of Directors and Executive  Officers;  Transactions and
               Arrangements Concerning Shares" in the Offer to Purchase, each of
               which is incorporated herein by reference.

5.       Plans or Proposals of the Issuer or Affiliate.

                    The Company's  plans or proposals  regarding (a) the sale of
                    assets is set forth in the section titled  "SPECIAL  FACTORS
                    -- Plans for the Company  after the Offer";  (b) a change in
                    the present  dividend rate or policy and the indebtedness of
                    the  Company  is set forth in the  section  titled  "SPECIAL
                    FACTORS -- Certain  Effects of the Offer," and (c) causing a
                    class of equity  securities  to be  delisted,  eligible  for
                    termination  of  registration  and  the  suspension  of  the
                    issuer's  obligation  to file  reports  is set  forth in the
                    sections titled "SPECIAL  FACTORS - - Certain Effects of the
                    Offer"  and "THE OFFER -- Effects of the Offer on the Market
                    for  Shares;  Registration  under the  Exchange  Act" in the
                    Offer to Purchase,  each of which is incorporated  herein by
                    reference.

                    There  are  no  plans  or   proposals   regarding   (a)  the
                    acquisition of additional  securities of the issuer,  (b) an
                    extraordinary  corporate transaction,  (c) any change in the
                    Board of Directors, (d) any change in the issuer's corporate
                    structure or (e) any change in the  issuer's  organizational
                    documents which may impede control of the issuer.

6. Source and Amount of Funds or Other Consideration.

         (a)       Information as to the source and amount of funds to be  used
         and (c-d) in the Rule 13e-3 transaction  is  set forth in  the  section
                   titled "THE OFFER --  Source  and  Amount  of Funds"  in  the
                   Offer to Purchase, which is incorporated herein by reference.

         (b)       Information  as to the  itemized  expenses to be incurred in
                   connection with the Offer is set forth in the section titled
                   "THE OFFER -- Fees and  Expenses"  in the Offer to Purchase,
                   which is incorporated herein by reference.



                                        4


7.       Purposes, Alternatives, Reasons and Effect.

         (a)       The purpose of the Offer and the reason for its structure  is
         and (c)    set forth in the sections  titled  "INTRODUCTION,"  "SPECIAL
                    FACTORS -- Background of the Offer" and "SPECIAL  FACTORS --
                    Purposes  of and  Reasons  for the  Offer"  in the  Offer to
                    Purchase, each of which is incorporated herein by reference.

         (b)        No  alternative  means were  considered  to  accomplish  the
                    purposes referenced to in (a) above.

         (d)        The  effects of the Rule 13e-3  transaction  is set forth in
                    the  sections  titled  "INTRODUCTION,"  "SPECIAL  FACTORS --
                    Fairness of the Offer,"  "SPECIAL FACTORS -- Certain Effects
                    of the  Offer,"  "THE  OFFER --  Effect  of the Offer on the
                    Market for Shares;  Registration under the Exchange Act" and
                    "THE OFFER -- Certain  Information  Concerning the Company,"
                    and the tax  consequences  are set forth in "SPECIAL FACTORS
                    -- Certain Federal Income Tax  Consequences"  and "THE OFFER
                    -- Certain Information  Concerning the Company" in the Offer
                    to  Purchase,  each  of  which  is  incorporated  herein  by
                    reference.

8. Fairness of the Transaction.

                    The  information  required  by this Item is set forth in the
                    sections titled  "SPECIAL  FACTORS -- Fairness of the Offer"
                    and "SPECIAL FACTORS -- Opinion of Financial Advisor" in the
                    Offer to Purchase,  each of which is incorporated  herein by
                    reference.

9. Reports, Opinions, Appraisals and Certain Negotiations.

         (a)        All  reports,  opinions  and  appraisals   received  by  the
         and (b)    Company areset forth and (b) in the section  titled "SPECIAL
                    FACTORS -- Fairness of the Offer" and  "SPECIAL FACTORS   --
                    Opinion of Financial Advisor" in the Offer to Purchase, 
                    which is incorporated herein by reference.

         (c)        The written  opinion  referred to in Item 9(a) is  available
                    for  inspection  at the principal  executive  offices of the
                    Company by any interested  stockholder of the Company or his
                    representative  that  has  been so  designated  in  writing.
                    Copies of such opinions and materials will be transmitted by
                    the   Company   to  any   interested   stockholder   or  his
                    representative  that has been so  designated in writing upon
                    the written  request  and at the  expense of the  requesting
                    stockholder.

10. Interest in Securities of the Issuer.

                    The information required by this Item regarding ownership by
                    the issuer's  officers and directors and its  affiliates and
                    transactions  in  Shares in the past 60 days is set forth in
                    Schedule A to the Offer to Purchase,  which is  incorporated
                    herein by reference.



                                        5





11.  Contracts,  Arrangements  or  Understandings  with  Respect to the Issuer's
     Securities.

                    There are no contracts,  agreements or  understandings  with
                    respect to the issuer's  securities  which would be required
                    to be disclosed pursuant to Item 11.

12. Present  Intention and  Recommendation of Certain Persons with Regard to the
Transaction.

        (a)         The  information  required by this paragraph is set forth in
                    the section titled "SPECIAL FACTORS -- Interest of Directors
                    and  Executive   Officers;   Transactions  and  Arrangements
                    Concerning  Shares"  in the  Offer  to  Purchase,  which  is
                    incorporated herein by reference.

        (b)         Information  regarding  recommendations  with respect to the
                    Offer is set forth in the sections titled "INTRODUCTION" and
                    "SPECIAL  FACTORS --  Purposes of and Reasons for the Offer"
                    in the  Offer to  Purchase,  each of  which is  incorporated
                    herein by reference.

13. Other Provisions of the Transactions.

        (a)         No appraisal rights will be available in connection with the
                    Offer.

        (b)         No provision has been made in  connection  with the Offer to
                    allow  unaffiliated  stockholders  of the  Company to obtain
                    access to the files of the Company.

        (c)         No exchange of debt securities is involved.

14. Financial Information.

                    Audited  financial  statements  for the years ended December
                    31, 1997 and 1996 and unaudited financial statements for the
                    six months  ended June 30,  1998 and 1997,  are set forth on
                    page  II-1  to  II-28  of the  Offer  to  Purchase  and  are
                    incorporated  herein by  reference.  Certain  other  summary
                    financial  information  is set forth in the  section  titled
                    "THE OFFER -- Certain Information Concerning the Company" in
                    the  Offer to  Purchase  which  is  incorporated  herein  by
                    reference.

15. Persons and Assets Employed, Retained or Utilized.

        (a)         The use of corporate  assets in connection with the Offer is
                    set forth in the  section  titled  "THE  OFFER -- Source and
                    Amount  of  Funds"  in  the  Offer  to  Purchase,  which  is
                    incorporated herein by reference.

         (b)        The  information  required by this paragraph is set forth in
                    the  sections  titled  "INTRODUCTION,"  "SPECIAL  FACTORS --
                    Opinion  of  Financial  Advisor"  and "THE OFFER -- Fees and
                    Expenses"  in the  Offer  to  Purchase,  each  of  which  is
                    incorporated herein by reference.



                                        6





16. Additional Information.

                    Additional  information concerning the Offer is set forth in
                    the  Offer to  Purchase,  which is  incorporated  herein  by
                    reference in its entirety.

17. Material to be filed as Exhibits.

         (a)               Not applicable
         (b)(1)            Opinion of Charles Webb & Company  dated  October 16,
                           1998  delivered  to the  Board of  Directors  and the
                           Special   Committee   of  the  Board  (the   "Special
                           Committee")  (See Annex I to Exhibit (d)(1)  included
                           herein)
         (c)               Not applicable
         (d)(1)            Offer to Purchase dated October 23, 1998
         (d)(2)            Letter of Transmittal*
         (d)(3)            Notice of Guaranteed Delivery
         (d)(4)            Letter from Securities Dealers, Commercial Banks  and
                           Trust Companies to their Clients
         (d)(5)            Letter to Brokers, Dealers, Commercial  Banks,  Trust
                           Companies and Nominees
         (d)(6)            Letter  to  Stockholders  dated October 23, 1998 from
                           Robert  L.  Savage,  President  and  Chief  Executive
                           Officer of the Company
         (d)(7)            Letter  to  Participants  in  the  Tri-County Federal
                           Savings Bank Employee Stock Ownership Plan
         (d)(8)            Question and Answer  Brochure 
         (e)               Not applicable
         (f)(1)            Schedule  13E-4  of the  Company  dated  October  20,
                           1998  (excluding exhibits)  
         (f)(2)            Press  Release  issued by the Company on October 20,
                           1998.


- --------------------
*  To be filed by amendment.

                                        7





                                    SIGNATURE

         After due inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.




Dated:  October 20, 1998                             Tri-County Bancorp, Inc.



                                            By:      /s/ Robert L. Savage   
                                                     ---------------------------
                                                     Name:   Robert L. Savage
                                                     Title:  President




                                        8




                                  EXHIBIT INDEX


Exhibit
- -------

(a)               Not applicable.

(b)(1)            Opinion of  Charles  Webb & Company  dated  October  16,  1998
                  delivered to the Board of Directors and the Special  Committee
                  of the Board (the "Special Committee") (See Annex I to Exhibit
                  (d)(1) included herein)

(c)               Not applicable.

(d)(1)            Offer to Purchase dated October 23, 1998

(d)(2)            Letter of Transmittal*

(d)(3)            Notice of Guaranteed Delivery

(d)(4)            Letter from Securities Dealers, Commercial Banks and Trust
                  Companies to their Clients

(d)(5)            Letter to Brokers, Dealers, Commercial Banks, Trust
                  Companies and Nominees

(d)(6)            Letter to Stockholders dated October 23, 1998  from  Robert L.
                  Savage, President and Chief Executive Officer of the Company

(d)(7)            Letter to Participants in the Tri-County Federal Savings Bank
                  Employee Stock Ownership Plan

(d)(8)            Question and Answer Brochure

(e)               Not applicable

(f)(1)            Schedule 13E-4 of the Company dated October 20, 1998
                  (excluding exhibits)

(f)(2)            Press Release issued by the Company on October 20, 1998


- --------------------
*  To be filed by amendment.


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