This composer's pieces prove OK, if reworked (9)

I believe the answer is:

prokofiev

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'this composer's pieces' is the definition.
'prokofiev' can be an answer for 'composer's' (I've seen this before). I am not certain of the remainder of the definition.

'prove ok if reworked' is the wordplay.
'reworked' indicates an anagram.
'prove'+'ok'+'if'='proveokif'
'proveokif' is an anagram of 'PROKOFIEV'.

Can you help me to learn more?

(Another definition for prokofiev that I've seen is " Russian composer (Peter and the Wolf)".)

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

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