Greek poet's pigeon? (5)
I believe the answer is:
homer
I believe this clue is a double definition.
'greek poet's' is the first definition.
(ancient Greek poet)
'pigeon?' is the second definition.
(I know that homer is a type of domestic pigeon)
(Other definitions for homer that I've seen before include "Great Greek who was known to nod" , "Racing pigeon?" , "addition to the score?" , "Pigeon; Greek poet" , "messenger of war?" .)