Extinguish a current measure in drink (5,3)
I believe the answer is:
stamp out
'extinguish' is the definition.
(I've seen this in another clue)
'a current measure in drink' is the wordplay.
'a current measure' becomes 'amp' (short for ampere, unit of electrical current).
'in' is an insertion indicator.
'drink' becomes 'stout' (type of beer).
'amp' inserted within 'stout' is 'STAMP OUT'.
(Other definitions for stamp out that I've seen before include "Scotch" , "Suppress with heavy foot" , "A stout MP (anag.)" , "Completely dispose of" , "Eradicate - as with heavy foot (5,3)" .)