Go hunting we hear for a bird (5)
I believe the answer is:
stork
'bird' is the definition.
(I know that stork is a type of bird)
'go hunting we hear' is the wordplay.
'go hunting' becomes 'stalk'.
'we hear' indicates a 'sounds like' (homophone) clue.
'stalk' is a homophone of 'STORK'.
'for a' is the link.
(Other definitions for stork that I've seen before include "Baby-carrying bird?" , "Large wading bird" , "The baby bird, so to speak" , "Mythological baby-bringer" , "Bird that delivers babies?" .)