Having clean escaped from one’s pursuers immediately (5,4)

I believe the answer is:

right away

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'immediately' is the definition.
('right away' can be a synonym of 'immediately')

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(Other definitions for right away that I've seen before include "This very minute, without delay" , "in no time" , "This instant, without delay" , "without hesitation" , "Immediately" .)

I've seen this clue in the Evening Standard.

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