Crossword Genius

See a musical’s MC (5)

Ross

I believe the answer is:

chair

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'mc' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'see a musical's' is the wordplay.
'see' becomes 'C' (the word for the letter, according to Chambers).
'a musical' becomes 'hair' (1960s musical).
'c'+'hair'='CHAIR'

Can you help me to learn more?

(Other definitions for chair that I've seen before include "Presiding officer" , "Single seat" , "Professoriate" , "Seat (of learning?)" , "control meeting" .)

I've seen this clue in The Sunday Times.
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