Hasten out to Greece (6)
I believe the answer is:
athens
'hasten out to greece' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for athens that I've seen before include "city in Greece" , "Hasten to the Hellenic city" , "Hasten to European city" , "foreign city" , "Hen sat down in the city" .)