Wanting bit of rumpy-pumpy? Pester Mark! (5)

I believe the answer is:

badge

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'mark' is the definition.
(badging is a kind of marking)

I don't understand how the rest of the clue works.

(Other definitions for badge that I've seen before include "Identity symbol" , "Identifying sign" , "Shield" , "evidence of membership" , "Emblem of belonging" .)

I've seen this clue in The Independent.

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