It's commonly held to please a sucker (8)

I believe the answer is:

lollipop

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'sucker' is the definition.
(I know that sucker can be written as lollipop)

I don't understand the rest of the clue.

(Other definitions for lollipop that I've seen before include "Boiled sweet" , "Confectionery" , "Sweetmeat" , "Sucked sweet" , "Nutcracker Suite, say" .)

I've seen this clue in The Globe and Mail.

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