Husband tucked into Japanese wine and sweet drink (5)

I believe the answer is:

shake

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'sweet drink' is the definition.
'shake' can be an answer for 'drink' (milkshake). I'm not certain of the 'sweet' bit.

'husband tucked into japanese wine' is the wordplay.
'husband' becomes 'h' (abbreviation).
'tucked into' indicates putting letters inside.
'japanese wine' becomes 'sake' (I've seen this in another clue).
'h' inserted into 'sake' is 'SHAKE'.

'and' acts as a link.

Can you help me to learn more?

(Other definitions for shake that I've seen before include "Tremble; milk drink" , "moment" , "Quiver" , "Tremble, vibrate" , "Rattle" .)

I've seen this clue in The Times.

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