In addition, has time for school singer (4)

I believe the answer is:

alto

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'singer' is the definition.
(alto is a kind of singer)

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

(Other definitions for alto that I've seen before include "Lowest female singing voice" , "Counter-tenor or contralto" , "The highest adult male singing-voice" , "A singing voice or pitch" , "Singing voice between tenor and soprano" .)

I've seen this clue in The Independent.

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