Crossword Genius

Met around school with prophets about terms (9)

Ross

I believe the answer is:

semesters

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'terms' is the definition.
(I know this)

'met around school with prophets about' is the wordplay.
'around' means one lot of letters goes inside another.
'school with' becomes 's' (I am not sure about the 'with' bit.).
'prophets' becomes 'seers' (both can mean people who see the future).
'about' means one lot of letters goes inside another.
'met' enclosing 's' is 'mest'.
'mest' inserted within 'seers' is 'SEMESTERS'.

Can you help me to learn more?

(Other definitions for semesters that I've seen before include "University half-years." , "Academic terms" , "Academic half-year courses" .)

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