Lie about dad stealing one's sweet (8)

I believe the answer is:

lollipop

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'sweet' is the definition.
(lollipop is a kind of sweet)

I can't explain the remainder of the clue.

(Other definitions for lollipop that I've seen before include "Woman seeing children safely across the road" , "Sweet for suckers?" , "Ice confection" , "Confection on a stick" , "Sweetmeat" .)

I've seen this clue in The Independent.

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