Crossword Genius

Their music leaves American vagrants breathless! (5)

Ross

I believe the answer is:

oboes

I'm a little stuck... Click here to teach me more about this clue!

'american vagrants breathless' is the definition.
I can't tell whether this definition defines the answer.

'their music' is the wordplay.
I cannot quite understand how this works, but
'music' could be 'e' and 'e' is present in the answer.
The remaining letters 'obos' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'leaves' acts as a link.

Can you help me to learn more?

(Other definitions for oboes that I've seen before include "They're instrumental" , "Woodwind instruments" , "Reed instruments" , "Wind instruments" , "noted producers" .)

I've seen this clue in the Evening Standard.
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