Royal family gets going outside university (7)

I believe the answer is:

stuarts

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'royal family gets going outside university' is the definition.
I can't judge whether this defines the answer.

'gets going outside university' is the wordplay.
'gets going' becomes 'starts' ('start' can be a synonym of 'get going').
'outside' indicates putting letters inside (some letters go outside others).
'university' becomes 'U' (abbreviation for university).
'starts' placed around 'u' is 'STUARTS'.

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