Greedy guts has lots of time for this bird (6)
I believe the answer is:
pigeon
'this bird' is the definition.
(type of bird)
'greedy guts has lots of time' is the wordplay.
'greedy guts' becomes 'pig' (both can mean a greedy person).
'has' is a charade indicator (letters next to each other).
'lots of time' becomes 'eon' (I've seen this in another clue).
'pig'+'eon'='PIGEON'
'for' acts as a link.
(Other definitions for pigeon that I've seen before include "Common city bird" , "Epigon (anag.)" , "Bird of the dove family" , "See 1 Across" , "Town and woodland bird" .)