The most common and most likely answer to this crossword clue is the 6 letter word SEMPRE
I've seen this crossword clue in The Guardian
S
E
M
P
R
E
More clues leading to the result SEMPRE
Buddy explains!
The straight part
We know that "Always playing music" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case always playing music = sempre.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 SEMPRE mean?
SEMPRE adverb- (as a qualifier) always, still; maintaining the same style