Superior role over in the Beehive state (4)
I believe the answer is:
utah
'the beehive state' is the definition.
('Utah' can be a synonym of 'beehive state')
'superior role over' is the wordplay.
'superior' becomes 'u' (I've seen this in other clues).
'role' becomes 'hat' (hat is a kind of role).
'over' shows that the letters should be reversed in order.
'hat' back-to-front is 'tah'.
'u'+'tah'='UTAH'
'in' acts as a link.
(Other definitions for utah that I've seen before include "State, Mormon settlement" , "member of union" , "US state N. of Arizona" , "In USA, it's the Mormon state" , "Mormons are found here in a hut" .)