Stick small fragment back on statue -- it's dropped off (4)

I believe the answer is:

flak

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'stick' is the definition.
(I've seen this before)

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

(Other definitions for flak that I've seen before include "stick" , "that can bring down a plane" , "Burst of abuse" , "Shooting" , "Bad press" .)

I've seen this clue in The Telegraph.

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