Withdraw when one’s influence is not wanted (4,3)

I believe the answer is:

pull out

'withdraw' is the definition.
(pulling out is a kind of withdrawing)

I cannot understand how the remainder of the clue works.

(Other definitions for pull out that I've seen before include "Detachable section of a paper/magazine" , "Withdraw" , "Detachable section of a magazine or newspaper" , "Supplement, perhaps" , "withdrawal" .)

I've seen this clue in the Evening Standard.

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