A fistful of drink, perhaps (5)

I believe the answer is:

punch

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'drink perhaps' is the definition.
'punch' can be an answer for 'drink' (punch is an alcoholic drink). I'm unsure of the 'perhaps' bit.

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

Can you help me to learn more?

(Other definitions for punch that I've seen before include "Hit - party drink" , "horse to get > drink" , "Puppet character, drink and tool for making holes" , "box" , "Blow with the fist" .)

I've seen this clue in The Irish News.

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