Unusual degree in dance (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a kind of dance)
'unusual degree' is the wordplay.
'unusual' becomes 'rum' (I've seen this before).
'degree' becomes 'ba' (Bachelor of Arts**).
'rum'+'ba'='RUMBA'
'in' acts as a link.
(Other definitions for rumba that I've seen before include "Umbra (anag)" , "Lively Cuban dance" , "Cuban folk dance" , "Cuban folk-dance" , "Burma (anag)" .)