SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                 AMENDMENT NO. 2
                                       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 Amendment No. 2 to Schedule 13E-3 amends and  supplements the Schedule
13E-3 (dated  October 20, 1998) and Amendment No. 1 to Schedule  13E-3  (October
23,  1998)  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 Keefe, Bruyette & Woods, Inc. 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)
         (b)(2)            Report of Charles Webb & Company, a division of Keefe, Bruyette & Woods,
                           Inc.
         (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)**
         (f)(5)            Amendment No. 2 to Schedule 13E-4 of the Company dated November 23, 1998
                           (excluding exhibits)
         (f)(6)            Form of Press Release issued by the Company dated November 23, 1998
                           (re: extension of Offer)


- --------------------
*  Previously filed on October 20, 1998 with Schedule 13E-3.
** Previously filed on October 23, 1998 with Amendment No. 1 to Schedule 13E-3.

                                        3


                                    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:  November 23, 1998                            Tri-County Bancorp, Inc.



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




                                        4


                                  EXHIBIT INDEX




Exhibit
              
(a)               Not applicable.

(b)(1)            Opinion of Keefe, Bruyette & Woods, Inc. 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)

(b)(2)            Report of Charles Webb & Company, a division of Keefe, Bruyette & Woods, Inc.

(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)**

(f)(5)            Amendment No. 2 to Schedule 13E-4 of the Company dated November 23, 1998
                  (excluding exhibits)

(f)(6)            Form of Press Release issued by the Company dated November 23, 1998
                  (re: extension of Offer)


- --------------------
*  Previously filed on October 20, 1998.
** Previously filed on October 23, 1998.

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