Produce a hostile reaction from Mills if not Prokofiev (7)
I believe the answer is:
'produce' is the definition.
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for provoke that I've seen before include "Incense" , "Make angry or incite to action" , "Goad" , "Stimulate (a reaction)" , "Irritate - arouse" .)