Very musical class council got rid of - first-rate (5)

I believe the answer is:

assai

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'very musical' is the definition.
(musical term for 'very')

I can't explain the remainder of the clue.

(Other definitions for assai that I've seen before include "Musician's very" , "Palm tree" , "attack in concert, for the most part" , "Very (in music scores)" , "Produced offspring" .)

I've seen this clue in the Sydney Morning Herald.

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