EXHIBIT 99.1


                                                  December 3, 1996



Dime Bancorp, Inc.,
   589 Fifth Avenue,
      New York, New York  10017.


          Re:  Agreement and Plan of Merger by
               and between Dime Bancorp, Inc. and 
               BFS Bankorp, Inc.
               ----------------------------------

Ladies and Gentlemen:

          The undersigned understand that Dime Bancorp, Inc. ("Dime") is
                                                               ----     
considering entering into an Agreement and Plan of Merger, to be dated as of the
date hereof (the "Merger Agreement"), with BFS Bankorp, Inc. ("BFS") and
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providing for the merger of a wholly owned subsidiary of Dime with and into BFS
(the "Merger").  In consideration of the substantial expenses and other
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obligations Dime will incur in connection with the transactions contemplated by
the Merger Agreement and in order to induce Dime to execute the Merger Agreement
and to proceed to incur such expenses, the undersigned agree and undertake as
follows:

          1.  The undersigned represent and warrant that they collectively are
     the beneficial owners of not less than 891,297 shares (the "Shares") of
                                                                 ------     
     common stock, par value $.01 per share (the "Common Stock"), of BFS.  The
                                                  ------------                
     Shares are held of record by the undersigned directly and by Gould BFS,
     Inc. (of which Fredric H. Gould is the President and sole Director and
     Gould Investors, L.P. is the sole stockholder).

          2.  The undersigned hereby waive, with respect to the Merger Agreement
     and the Merger, the conditions set forth in the proviso to Section 5(a) of
     the 1993 Agreement (the "Bidding Conditions").  The undersigned agree that
                              ------------------                               
     the Merger Agreement is the type of agreement contemplated by Section 5(a)
     of the 1993 Agreement and agree to comply with Section 5 of the 1993
     Agreement with respect to the Merger Agreement and the Merger (in all
     respects as if the Bidding Conditions were satisfied).  For purposes
     hereof, the "1993 Agreement" shall mean the Agreement, dated as of
                  --------------                                       

 
Dime Bancorp, Inc.                                                        Page 2


     April 3, 1993, between BFS, Fredric H. Gould, Gould Investors, L.P. and the
     other persons and entities identified therein, as amended by Amendment No.
     1 thereto (a true and complete copy of which has been attached to this
     letter agreement by the undersigned upon execution hereof).

          3.  The undersigned agree not to amend, terminate, or otherwise
     modify, or take any action that would have the effect of amending,
     terminating or modifying, the terms of the 1993 Agreement, without the
     express written consent of Dime.  If the 1993 Agreement terminates for any
     reason before termination of this letter agreement (including as a result
     of the acquisition by the undersigned of additional shares of Common
     Stock), the undersigned agree to continue to be bound by Section 5 of the
     1993 Agreement (as in effect prior to such termination) for purposes of,
     and after giving effect to, this letter agreement.

          4.  The undersigned agree not to, directly or indirectly, sell,
     transfer, pledge, assign or otherwise dispose of, or enter into any
     contract, option, commitment or other arrangement or understanding with
     respect to the sale, transfer, pledge, assignment or other disposition of,
     any of the Shares (including as part of a transaction involving the sale of
     BFS).  In the case of any transfer by operation of law, this letter
     agreement shall be binding upon and inure to the transferee.  Any transfer
     or other disposition in violation of the terms of this paragraph 4 shall be
     null and void.

          5.  The undersigned agree that they shall not, and shall direct and
     use all reasonable efforts to cause their respective directors, officers,
     employees, agents and representatives (including, without limitation, any
     investment banker, attorney or accountant retained by them) not to, (a)
     initiate, solicit or encourage, directly or indirectly, any inquiries with
     respect to, or the making or implementation of, any Acquisition Proposal
     (as defined in the Merger Agreement) or engage in any discussions or
     negotiations with, or provide any confidential information or data to, any
     person relating to any such Acquisition Proposal; provided that, if the
                                                       --------             
     undersigned are not otherwise in violation of this paragraph 5, the
     undersigned may furnish or cause to be furnished information and may
     participate

 
Dime Bancorp, Inc.                                                        Page 3


     in such discussions or negotiations directly or through its representatives
     following a determination by the Board of Directors of BFS (other than the
     undersigned and any of their affiliates who are members of such Board) that
     it is required to take the actions contemplated by the proviso to Section
     5.2 of the Merger Agreement.

          6.  As stockholders of BFS, the undersigned shall cooperate with Dime
     and BFS in (a) preparing and filing documentation, (b) effecting
     applications, notices, petitions, filings and other documents and (c)
     obtaining permits, consents, orders, approvals and authorizations necessary
     to make effective the Merger and the other transactions contemplated by the
     Merger Agreement and, except as otherwise permitted under this letter
     agreement or the Merger Agreement, shall not wilfully take, or cause to be
     taken, any action that could significantly impair the prospects of
     completing the Merger in accordance with the Merger Agreement.

          7.  If the Merger Agreement shall terminate in any manner described in
     Section 7.3(a) of the Merger Agreement and prior to or within eighteen
     months after the date of such termination:

               (1) An Acquisition Transaction (as defined in Section 7.3 of the
          Merger Agreement) shall be consummated or any of the undersigned shall
          transfer, sell or otherwise dispose of any shares of Common Stock to
          any person or group (such terms having the meaning assigned thereto
          under Section 13(d) of the Securities Exchange Act of 1934) that has,
          or as a result thereof will have, a reporting obligation under Section
          13(d) of the Securities Exchange Act of 1934 with respect to the
          Common Stock; and

               (2) As a result of, or in connection with, an event or
          transaction of the type described in the preceding clause, the
          undersigned (directly or indirectly) received or will receive, in
          exchange for or otherwise in respect of shares of Common Stock
          beneficially owned by them, property the fair market value of which
          per share exceeds the Applicable Consideration (such fair market value
          being determined in a mutually agreed upon manner),

 
Dime Bancorp, Inc.                                                        Page 4


     then the undersigned will, jointly and severally, pay to Dime at the time
     of consummation of such transaction an amount equal to the excess of the
     fair market value per share of such property over the Applicable
     Consideration. The amount paid shall be either in cash or in the form of
     any other property received by the undersigned in such transaction, at the
     election of Dime; provided, that Dime shall make its election before the
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     consummation of any such transaction if it has reasonable notice thereof
     (or, in any other case, shall make its election promptly upon the receipt
     of notice); and provided, further, that if the undersigned shall receive
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     property other than cash and Dime shall elect a cash payment, then the
     amount paid will be net of reasonable and customary expenses actually
     incurred in the sale of such property (solely in an amount necessary to
     comply with the terms of this letter agreement) by the undersigned.  The
     "Applicable Consideration" for purposes of this letter agreement shall mean
     -------------------------                                                  
     $52.00; provided, that if the event or transaction referred to in paragraph
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     7(1) of this letter agreement occurs after June 1, 1997, the Applicable
     Consideration shall be increased by an amount equal to the product of $.01
     and the number of days elapsed during the period beginning on but excluding
     June 1, 1997, through and including the date on which such event or
     transaction occurs.

          8.  The undersigned agree to cause those other persons and entities
     that are parties to the 1993 Agreement (other than BFS), or successors to
     such parties, to comply with this letter agreement as if they were a party
     hereto.

          9.  Except for paragraphs 7 and 8, which shall survive the termination
     of this letter agreement for the period specified in paragraph 7, this
     letter agreement shall terminate at the time of the termination of the
     Merger Agreement, except that any such termination shall be without
     prejudice to your rights arising out of any breach of any agreement or
     representation contained herein.


 
Dime Bancorp, Inc.                                                        Page 5


          This letter agreement constitutes the complete understanding between
the undersigned and Dime concerning the subject matter hereof.  THIS LETTER
AGREEMENT SHALL BE GOVERNED BY, AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF
THE STATE OF NEW YORK APPLICABLE TO AGREEMENTS MADE AND TO BE PERFORMED ENTIRELY
WITHIN SUCH STATE.

                                 Very truly yours,                   
                                                                     
                                                                     
                                 FREDRIC H. GOULD                    
                                                                     
                                                                     
                                 /s/  Fredric H. Gould               
                                 --------------------------          
                                                                     
                                                                     
                                                                     
                                 GOULD INVESTORS, L.P.,              
                                   a Delaware limited partnership    
                                                                     
                                   By: Georgetown Partners, Inc.,    
                                       its Managing General Partner  
                                                                     
                                                                     
                                       By: /s/  Fredric H. Gould     
                                           ------------------------- 
                                            Name:  Fredric H. Gould  
                                            Title:  Chairman          


Accepted:

DIME BANCORP, INC.



By: /s/  James M. Large, Jr.
    ------------------------
    Name:  James M. Large, Jr.
    Title:  Chairman and Chief
            Executive Officer