Drink in local almost drunk (4)
I believe the answer is:
cola
'drink' is the definition.
(cola is a type of drink)
'local almost drunk' is the wordplay.
'almost' means to remove the first letter.
'drunk' indicates an anagram.
'local' with its initial letter taken away is 'ocal'.
'ocal' is an anagram of 'COLA'.
'in' is the link.
(Other definitions for cola that I've seen before include "Fizzy drink" , "Cold drink" , "Carbonated soft drink" , "pop" .)