During school period nine get together socially (8)

I believe the answer is:

intermix

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'together socially' is the definition.
I can't judge whether this defines the answer.

'during school period nine' is the wordplay.
'during' becomes 'in' (e.g. during February means in February).
'school period' becomes 'term' (I've seen this before).
'nine' becomes 'IX' (roman numeral).
'in'+'term'+'ix'='INTERMIX'

'get' is the link.

Can you help me to learn more?

(Other definitions for intermix that I've seen before include "Mingle" , "Blend together" , "Stir" .)

I've seen this clue in The Times.

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