Beverage: a tin each is drunk (5,3)

I believe the answer is:

china tea

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'beverage' is the definition.
I know nothing about this answer so I can't tell whether this works.

'a tin each is drunk' is the wordplay.
'is drunk' indicates an anagram.
'a'+'tin'+'each'='atineach'
'atineach' is an anagram of 'CHINA TEA'.

Can you help me to learn more?

(Other definitions for china tea that I've seen before include "Eastern drink" , "Leaves for drink" , "cuppa?" .)

I've seen this clue in The Times.

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