Shifty thing to do? (4)

I believe the answer is:

move

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This might be a double definition.

'shifty thing' is the first definition.
'move' can be an answer for 'thing' (thesaurus). I'm not certain of the 'shifty' bit.

'do?' is the second definition.
(moving is a kind of doing)

'to' is the link.

Can you help me to learn more?

(Other definitions for move that I've seen before include "Relocate" , "Manoeuvre; go" , "Budge" , "Go, transport" , "Stir - change places" .)

I've seen this clue in the Evening Standard.

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