Quick to move out of Clitheroe (5)

I believe the answer is:

lithe

'quick to move' is the definition.
(I've seen this before)

'of clitheroe' is the wordplay.
'of' says the answer is hidden in the clue.
'LITHE' is hidden within 'clitheroe'.

'out' is the link.

(Other definitions for lithe that I've seen before include "showing great athletic ability" , "Physically supple, agile" , "grace" , "Supple and graceful" , "Of body, flexible and supple" .)

I've seen this clue in the Evening Standard.

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