Crossword Genius

Wind instrument - blow me having score to follow (6)


I believe the answer is:


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'wind instrument' is the definition.
(cornet is a kind of wind instrument)

'blow me having score to follow' is the wordplay.
I cannot really understand how this works, but
'score' could be 'net' (I've seen this before) and 'net' is found in the answer.
The remaining letters 'cor' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for cornet that I've seen before include "Cavalry officer" , "play this?" , "Small trumpet or ice-cream holder" , "its contents cold" , "A short trumpet or ice-cream holder" .)

I've seen this clue in The Telegraph.
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