Sucker for a drink (5)

I believe the answer is:

straw

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'sucker' is the definition.
(something used to suck drinks)

I can't explain the remainder of the clue.

(Other definitions for straw that I've seen before include "Stems left after grain has been removed" , "Plant fibre used as fodder" , "The last one broke the camel's back" , "Cornstalks (often the last)" , "Means to absorb" .)

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

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