Fly from Athens, possibly (6)
I believe the answer is:
hasten
'fly' is the definition.
(thesaurus)
'athens possibly' is the wordplay.
'possibly' is an anagram indicator.
'athens' anagrammed gives 'HASTEN'.
'from' acts as a link.
(Other definitions for hasten that I've seen before include "Speed up" , "Step up" , "Travel with expedition" , "Act or move fast" , "Hurry along" .)