The most common and most likely answer to this crossword clue is the 7 letter word BHANGRA
I've seen this crossword clue in The Times
B
H
A
N
G
R
A
More clues leading to the result BHANGRA
Buddy explains!

The straight part
We know that "hybrid musical style" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hybrid musical style = bhangra.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 BHANGRA mean?
BHANGRA noun- A lively style of music originating from India.
- A traditional Punjabi folk dance, originally a celebration of the harvest.
- Any of various modern Punjabi dance styles of the 1950s and 1990s.
- Any style of electronic dance music (EDM) influenced by the musics of the Indian subcontinent.