Pain of US private, quiet (3)

I believe the answer is:

gip

'pain' is the definition.
(I know that gip is a type of hurt)

'us private quiet' is the wordplay.
'us private' becomes 'GI' (term for US soldier).
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'gi'+'p'='GIP'

'of' acts as a link.

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.