Winger short of very big game (4)
I believe the answer is:
prey
'game' is the definition.
(both can mean animals which are hunted)
'winger short of very big' is the wordplay.
'winger' becomes 'osprey' (type of bird).
'short of' suggests deleting specific letters.
'very big' becomes 'os' (abbreviation for outsize).
'osprey' with 'os' taken away is 'PREY'.
(Other definitions for prey that I've seen before include "Hunter's quarry" , "Victim, quarry" , "Animal hunted and killed for food" , "Hunted creature" , "Animal hunted or caught for food" .)