Drink for drunk not starting to get cold during snooze (8)
I believe the answer is:
nightcap
'drink' is the definition.
(nightcap is a kind of drink)
'drunk not starting to get cold during snooze' is the wordplay.
'drunk' becomes 'high' (I've seen this before).
'not starting' means to remove the first letter.
'to get cold' becomes 'tc' (I can't explain this - if you can you should give a lot more credence to this answer).
'during' is an insertion indicator.
'snooze' becomes 'nap' (synonyms).
'high' with its initial letter taken away is 'igh'.
'igh'+'tc'='ightc'
'ightc' going within 'nap' is 'NIGHTCAP'.
'for' is the link.
(Other definitions for nightcap that I've seen before include "Pre-bed drink" , "Old headgear" , "Take before bed or wear in bed" , "Alcoholic drink taken at bedtime" , "what last drink might be" .)