Quick words to music biddy regularly missed (5)

I believe the answer is:

rapid

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'quick' is the definition.
(synonyms)

'music biddy regularly missed' is the wordplay.
'music' becomes 'rap' (musical genre).
'regularly missed' indicates alternate letters (letters removed at regular intervals).
The alternating letters of 'biddy' are 'id'.
'rap'+'id'='RAPID'

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This may not be correct. Some or all of it may be part of another bit of the clue.

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(Other definitions for rapid that I've seen before include "Speedy (5)" , "haste" , "Quickly accomplished" , "Zippy" , "moving fast" .)

I've seen this clue in The Independent.

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