1975 film starring Warren Beatty as a successful Beverly Hills hairdresser (7)

I believe the answer is:

shampoo

(Other definitions for shampoo that I've seen before include "Soapy liquid for hair" , "Apply liquid to hair ..." , "clean" , "Would Mao shop for this cleaner?" , "My partner may be set" .)

I've seen this clue in The Independent.

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