Quiet islands head of Eton enters of all people! (9)

I believe the answer is:

noiseless

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'quiet' is the definition.
(similar in meaning)

I don't understand how the rest of the clue works.

(Other definitions for noiseless that I've seen before include "Silent, quiet" , "with a silencer?" , "Lionesses (anag) - making no sound" , "unsound?" , "Mum" .)

I've seen this clue in The Times.

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