Exhibit 4.1

   

  SPECIMEN UNIT CERTIFICATE

   

  NUMBER UNITS

      U-

   

  	SEE REVERSE FOR	Tiga Acquisition Corp. III	 
	CERTAIN	 	 
	DEFINITIONS	 	 


   

  CUSIP [●]

   

  UNITS CONSISTING OF ONE CLASS A ORDINARY
      SHARE AND ONE-QUARTER OF ONE WARRANT TO PURCHASE ONE CLASS A ORDINARY SHARE

   

  THIS CERTIFIES THAT

    is the owner of Units.

   

  Each Unit (“Unit”) consists of one (1) Class A ordinary
    share, par value $0.0001 per share (“Ordinary Shares”), of Tiga Acquisition Corp. III, a Cayman Islands exempted company
    (the “Company”), and one-quarter (1/4) of one warrant (each whole warrant, a “Warrant”). Each
    whole Warrant entitles the holder to purchase one (1) Ordinary Share for $11.50 per share (subject to adjustment). Only whole Warrants
    are exercisable. Each Warrant will become exercisable on the later of (i) thirty (30) days after the Company’s completion
    of a merger, share exchange, asset acquisition, share purchase, reorganization or other similar business combination with one or
    more businesses (each a “Business Combination”), or (ii) twelve (12) months from the closing of the Company’s
    initial public offering, and will expire unless exercised before 5:00 p.m., New York City Time, on the date that is five (5) years
    after the date on which the Company completes its initial Business Combination, or earlier upon redemption or liquidation. The
    Ordinary Shares and Warrants comprising the Units represented by this certificate are not transferable separately prior to [ ],
    2021, unless Credit Suisse Securities (USA) LLC and Goldman Sachs (Asia) L.L.C. elect to allow earlier separate trading, subject
    to the Company’s filing with the Securities and Exchange Commission of a Current Report on Form 8-K containing an audited
    balance sheet reflecting the Company’s receipt of the gross proceeds of the initial public offering and issuing a press release
    announcing when separate trading will begin. No fractional Warrants will be issued upon separation of the Units and only whole
    Warrants will trade. The terms of the Warrants are governed by a Warrant Agreement, dated as of [ ], 2021, between the Company
    and Continental Stock Transfer & Trust Company, as Warrant Agent, and are subject to the terms and provisions contained therein,
    all of which terms and provisions the holder of this certificate consents to by acceptance hereof. Copies of the Warrant Agreement
    are on file at the office of the Warrant Agent at 1 State Street, 30th Floor, New York, New York 10004, and are available to any
    Warrant holder on written request and without cost.

   

  Upon the consummation of the Business Combination, the Units represented
    by this certificate will automatically separate into the Class A Ordinary Shares and Warrants comprising such Units.

   

  
  
    	 	 	 


  

  
     

  

  
   

  This certificate is not valid unless countersigned by the Transfer
    Agent and registered by the Registrar of the Company.

   

  This certificate shall be governed by and construed in accordance
    with the laws of the State of New York. Witness the facsimile signatures of its duly authorized officers.

   

  	By	 	 
	 	Chief Financial Officer	 


   

  
  
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  Tiga Acquisition Corp. III

   

  The Company will furnish without charge to each
    unitholder who so requests, a statement of the powers, designations, preferences and relative, participating, optional or other
    special rights of each class of shares or series thereof of the Company and the qualifications, limitations, or restrictions of
    such preferences and/or rights.

   

  The following abbreviations, when used in the
    inscription on the face of this certificate, shall be construed as though they were written out in full according to applicable
    laws or regulations:

   

  	TEN COM	—	as tenants in common	UNIF GIFT MIN ACT	—       Custodian
	 	 	 	
          (Cust)

        	 	
          (Minor)

        
	TEN ENT	—	as tenants by the entireties	under Uniform Gifts to Minors Act
	 	 	 	
        
	 	 	 	(State)
	JT TEN	—	as joint tenants with right of survivorship and not as tenants in common	 
	 	 	 	 	 	 	 	 


  Additional abbreviations may also be used though
    not in the above list.

   

  
  
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  For value received, hereby sells, assigns and transfers unto

   

  	 	 
	PLEASE INSERT SOCIAL SECURITY OR OTHER IDENTIFYING	 
	NUMBER OF ASSIGNEE	 


   

  (PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS,
    INCLUDING ZIP CODE, OF ASSIGNEE)

   

  Units represented by the within Certificate, and do hereby irrevocably
    constitute and appoint Attorney to transfer the said Units on the books of the within named Company with full power of substitution
    in the premises.

   

  	Dated	 	 	 	 
	 	 	 	Notice:	The signature to this assignment must correspond with the name as written upon the face of the certificate in every particular, without alteration or enlargement or any change whatever.


   

  Signature(s) Guaranteed:

   

  	 	 
	THE SIGNATURE(S) MUST BE GUARANTEED BY AN ELIGIBLE GUARANTOR INSTITUTION (BANKS, STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND CREDIT UNIONS WITH MEMBERSHIP IN AN APPROVED SIGNATURE GUARANTEE MEDALLION PROGRAM, PURSUANT TO S.E.C. RULE 17Ad-15
          UNDER THE SECURITIES EXCHANGE ACT OF 1934, AS AMENDED OR ANY SUCCESSOR RULES).	 


   

  In each case, as more fully described in the Company’s final
    prospectus dated [ ], 2021, the holder(s) of this certificate shall be entitled to receive a pro-rata portion of certain funds
    held in the trust account established in connection with the Company’s initial public offering only in the event that (i)
    the Company redeems the Class A Ordinary Shares sold in its initial public offering and liquidates because it does not complete
    an initial business combination within the period of time set forth in the Company’s amended and restated memorandum and
    articles of association, (ii) the Company redeems the Class A Ordinary Shares sold in its initial public offering in connection
    with a shareholder vote to amend the Company’s amended and restated memorandum and articles of association (a) to modify
    the substance or timing of the Company’s obligation to redeem 100% of the Class A Ordinary Shares if it does not complete
    an initial business combination within the time period set forth therein or (b) with respect to any other provisions relating
    to the rights of holders of the Company’s Class A Ordinary Shares, or (iii) if the holder(s) seek(s) to redeem for cash
    his, her or its respective Class A Ordinary Shares in connection with a tender offer (or proxy solicitation, solely in the event
    the Company seeks shareholder approval of the proposed initial business combination) setting forth the details of a proposed initial
    business combination. In no other circumstances shall the holder(s) have any right or interest of any kind in or to the trust
    account. 

   

  
  
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