Reed, not broken, oddly trimmed (4)

I believe the answer is:

oboe

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'reed' is the definition.
(oboe is a kind of reed)

'not broken oddly trimmed' is the wordplay.
'not broken' becomes 'obo' (I can't justify this - if you can you should give a lot more credence to this answer).
'oddly' becomes 'queerly' (synonyms).
'trimmed' means to look at the middle letters (the external letters are trimmed from the word).
The middle letter of 'queerly' is 'e'.
'obo'+'e'='OBOE'

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(Other definitions for oboe that I've seen before include "Orchestral piece" , "Woodwind instrument of treble pitch" , "Slender double-reed instrument" , "Musical instrument" , "Player" .)

I've seen this clue in The Telegraph.

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