The most common and most likely answer to this crossword clue is the 8 letter word HIGHBALL
I've seen this crossword clue in The Times
H
I
G
H
B
A
L
L
Buddy explains!

The straight part
We know that "Beverage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beverage = highball.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.
What does HIGHBALL mean?
HIGHBALL noun- A cocktail made from a spirit plus soda water etc.
- An all clear or full speed ahead signal.
- A very high bouldering problem, often with a hard landing.
- To make an estimate which tends toward exaggeration.
- (possibly obsolete) To move quickly; to hightail.