The most common and most likely answer to this crossword clue is the 6 letter word RUMBAS
I've seen this crossword clue in The Guardian
R
U
M
B
A
S
More clues leading to the result RUMBAS
Buddy explains!

The straight part
We know that "some Cuban music" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case some cuban music = rumbas.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 RUMBAS mean?
RUMBAS noun- A slow-paced Cuban partner dance in 4:4 time.
- To dance the rumba