The most common and most likely answer to this crossword clue is the 7 letter word PURCELL
I've seen this crossword clue in The Guardian
P
U
R
C
E
L
L
More clues leading to the result PURCELL
- Tear apart LP: cruel for composer
- Drag worn by right church organist
- Musician, chaste? Around about 50/50
- Composer with practically modest, humble dwelling
- Composer‘s place full of filthy lucre
- Public Library hosting dreadfully cruel 1D
- Cruel fluctuation in pence and pound for composer
- Almost express contentment with chamber music man
- English composer turned up with right instrument endlessly
- It’s a drag entertaining exceptionally rich English composer
Buddy explains!

The straight part
We know that "music man" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case music man = purcell.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.