Crossword Genius

Looking after students having done exam (8)

Ross

I believe the answer is:

pastoral

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'looking after students having' is the definition.
I can't tell whether this definition defines the answer.

'done exam' is the wordplay.
'done' becomes 'past' (both can mean finished).
'exam' becomes 'oral' (spoken academic test).
'past'+'oral'='PASTORAL'

Can you help me to learn more?

(Other definitions for pastoral that I've seen before include "Well-known symphony" , "Portraying romanticised country life" , "Country style" , "Depicting rural life" , "Letter to church members" .)

I've seen this clue in The Times.
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