Musical compositions, those going over some people's heads? (10)

I believe the answer is:

hairpieces

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'those going over some people's heads?' is the definition.
I can't tell whether this defines the answer.

'musical compositions' is the wordplay.
'musical' becomes 'hair' (1960s musical).
'compositions' becomes 'pieces' ('piece' can be a synonym of 'composition').
'hair'+'pieces'='HAIRPIECES'

Can you help me to learn more?

(Another definition for hairpieces that I've seen is " Wigs".)

I've seen this clue in The Guardian.

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