College on the side, involving no others (10)

I believe the answer is:

unilateral

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'no others' is the definition.
I can't tell whether this defines the answer.

'college on the side' is the wordplay.
'college' becomes 'uni' (short for university).
'on the side' becomes 'lateral' (lateral means located on the side).
'uni'+'lateral'='UNILATERAL'

'involving' is the link.

Can you help me to learn more?

(Other definitions for unilateral that I've seen before include "One-sided" , "Done only by one side" , "affecting only one person out of several" .)

I've seen this clue in The Daily Express.

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