Old man with money picked up something to suck (8)

I believe the answer is:

lollipop

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But I can't explain it at all! Could you help me understand?

(Other definitions for lollipop that I've seen before include "Boiled sweet" , "Sucked sweet" , "Nutcracker Suite, say" , "Ice confection" , "children love it" .)

I've seen this clue in The Times.

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