SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

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

                                 AMENDMENT NO. 1
                                       TO
                                 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.


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17.      Material to be filed as Exhibits.


                         
         (a)               Not applicable.
         (b)(1)            Opinion of Charles Webb & Company  dated  October 23,
                           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*
         (f)(3)            Amendment No. 1 to Schedule 13E-4 of the Company dated October 23, 1998
                           (excluding exhibits)
         (f)(4)            Press Release issued by the Company on October 20, 1998 (re: 3rd quarter
                           earnings)



- --------------------
*  Previously filed on October 20, 1998 with Schedule 13E-3.

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                                    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 23, 1998                             Tri-County Bancorp, Inc.



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




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                                  EXHIBIT INDEX

Exhibit
- -------

(a)               Not applicable.

(b)(1)            Opinion of  Charles  Webb & Company  dated  October  23,  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)               Note 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*

(f)(3)            Amendment No. 1 to Schedule 13-E4 of the Company dated October
                  23, 1998 (excluding exhibits)

(f)(4)            Press Release issued by the Company on October 20, 1998 
                  (re: 3rd quarter earnings)


- --------------------
*  Previously filed on October 20, 1998.


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