Greek author of fables (5)
I believe the answer is:
aesop
'greek author of fables' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for aesop that I've seen before include "Ancient Greek author of moral tales" , "A pose of famed fable teller" , "Greek fabulist (Tortoise and the Hare)" , "his writings were fabulous" , "Greek teller of animal tales with a moral" .)