The most common and most likely answer to this crossword clue is the 6 plus 8 letter word WARNER BROTHERS
I've seen this crossword clue in The Guardian
W
A
R
N
E
R
B
R
O
T
H
E
R
S
More clues leading to the result WARNER BROTHERS
Buddy explains!
The straight part
We know that "film studio" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case film studio = warner brothers.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.