The most common and most likely answer to this crossword clue is the 5 plus 6 letter word BLACK VELVET
I've seen this crossword clue in Financial Times
B
L
A
C
K
V
E
L
V
E
T
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 = black velvet.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.