The most common and most likely answer to this crossword clue is the 3 plus 9 letter word HOT CHOCOLATE
I've seen this crossword clue in Financial Times
H
O
T
C
H
O
C
O
L
A
T
E
More clues leading to the result HOT CHOCOLATE
- Awful toothache swallowing most of cold drink
- Toothache rages, having consumed mostly cold drink
- Bad toothache inviting depression and drink
- Nasty toothache limiting officer’s drink
- Terrible toothache when consuming most of cold drink
- Endless alcohol added to the cold mixed drink
- Toothache must develop, consuming mostly cold drink
- Old pop group that will often get drunk late at night!
Buddy explains!
The straight part
We know that "drink" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case drink = hot chocolate.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.