Right pair get over split (11)

I believe the answer is:

prerogative

'right' is the definition.
(prerogative is a kind of right)

'pair get over split' is the wordplay.
'split' indicates an anagram.
'pair'+'get'+'over'='pairgetover'
'pairgetover' with letters rearranged gives 'PREROGATIVE'.

(Other definitions for prerogative that I've seen before include "Right, privilege" , "Exclusive right/privilege" .)

I've seen this clue in The Times.

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