Time that guy gets threatening without a bit of drink? (10)

I believe the answer is:

thimbleful

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'a bit of drink?' is the definition.
(small amount of drink)

'time that guy gets threatening without' is the wordplay.
I cannot really see how this works, but
'time' could be 't' (abbreviation) and 't' is found in the answer.
'guy' could be 'him' (I've seen this in another clue) and 'him' is found within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in The Times.

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