Anyhow, he is cool tutor (8)

I believe the answer is:

schoolie

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'tutor' is the definition.
Both the answer and definition are singular nouns.
Maybe there's a link between them I don't understand?

'anyhow he is cool' is the wordplay.
'anyhow' indicates anagramming the letters.
'he'+'is'+'cool'='heiscool'
'heiscool' is an anagram of 'SCHOOLIE'.

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I've seen this clue in the Sydney Morning Herald.

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