The most common and most likely answer to this crossword clue is the 8 plus 3 letter word JOURNEYS END
I've seen this crossword clue in The Times
J
O
U
R
N
E
Y
S
E
N
D
Buddy explains!
The straight part
We know that "Drama" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case drama = journeys end.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.