Even chance offered to cat needing lift (4-2)
I believe the answer is:
toss-up
'even chance' is the definition.
(thesaurus)
'to cat needing lift' is the wordplay.
'cat' becomes 'puss' (puss is a kind of cat).
'needing lift' shows that the letters should be reversed in order (in a down clue, letters go up).
'puss' written backwards gives 'ssup'.
'to'+'ssup'='TOSS-UP'
'offered' is the link.
(Other definitions for toss-up that I've seen before include "Fifty-fifty chance" , "It helps you pick" , "Use of a coin to choose" , "Flip of a coin" .)