Propose drink then short quiz (3,3,8)

I believe the answer is:

pop the question

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'propose' is the definition.
(synonyms)

'drink then short quiz' is the wordplay.
'drink' becomes 'pop' (pop is a kind of drink).
'short' means to remove the last letter.
'quiz' becomes 'question' (I can't justify this - if you can you should give a lot more credence to this answer).
'then' with its last letter removed is 'the'.
'pop'+'the'+'question'='POP THE QUESTION'

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(Other definitions for pop the question that I've seen before include "Propose" , "to ask for a hand" , "offer to form union" , "Suggest union" .)

I've seen this clue in The Telegraph.

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