Deer with leg cut (4)
I believe the answer is:
stag
'deer' is the definition.
(stag is a kind of deer)
'leg cut' is the wordplay.
'leg' becomes 'stage' (synonyms).
'cut' means to remove the last letter.
'stage' with its last letter removed is 'STAG'.
'with' is the link.
(Other definitions for stag that I've seen before include "Stock market speculator" , "involving men" , "One who speculates" , "Horned animal" , "Men-only" .)