A Greek poet's pigeon? (5)
I believe the answer is:
I believe this clue is a double definition.
'a 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 "trained to get back to house" , "Great Greek poet who sometimes nods" , "Greek author; pigeon" , "The classical poet" , "Old Greek epic poet" .)