The alcoholic's partial cure (4)
I believe the answer is:
heal
'cure' is the definition.
(I know that cure can be written as heal)
'the alcoholic's partial' is the wordplay.
'partial' indicates the answer is hidden within the clue.
'HEAL' can be found hidden inside 'the alcoholics'.
(Other definitions for heal that I've seen before include "Make whole and healthy" , "remedy" , "Get well again" , "Restore to health" , "Get healthy again" .)