The most common and most likely answer to this crossword clue is the 6 plus 9 letter word BRANDY ALEXANDER
B
R
A
N
D
Y
A
L
E
X
A
N
D
E
R
More clues leading to the result BRANDY ALEXANDER
- Make locksmith cross – throne-room occupier’s shut in with booze
- Having intermittent doses of X-ray radiation finally prepared Ellington for one drink
- Drink in university with cross and doubtful expression after class
- & 15d A cocktail relaxed Bryan, and bubbly
- Fanatic relaxed ban restricting hot cocktail
Buddy explains!

The straight part
We know that "cocktail" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cocktail = brandy alexander.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.