Exclusive right or privilege (11)
I believe the answer is:
prerogative
I believe this clue is a double definition.
'exclusive right' is the first definition.
(I know that exclusive right can be written as prerogative)
'privilege' is the second definition.
(I know that privilege can be written as prerogative)
(Other definitions for prerogative that I've seen before include "Exclusive right/privilege" , "Right, privilege" .)