Problems re ''abstainers'' getting drunk (5-7)

I believe the answer is:

brain-teasers

'problems' is the definition.
(I know this)

're 'abstainers' getting drunk' is the wordplay.
'getting drunk' indicates anagramming the letters.
're'+'abstainers'='reabstainers'
'reabstainers' anagrammed gives 'BRAIN-TEASERS'.

(Another definition for brain-teasers that I've seen is " Puzzles".)

I've seen this clue in The Times.

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