Accelerate out of Athens (6)

I believe the answer is:

hasten

'accelerate' is the definition.
(thesaurus)

'out of athens' is the wordplay.
'out of' indicates anagramming the letters.
'athens' with letters rearranged gives 'HASTEN'.

(Other definitions for hasten that I've seen before include "Step up" , "Hurry along" , "Travel with expedition" , "Make faster" , "Be quick to do something" .)

I've seen this clue in the Evening Standard.

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