Odd degree to which folk may dance? (5)
I believe the answer is:
rumba
'to which folk may dance?' is the definition.
(rumba is a type of dance)
'odd degree' is the wordplay.
'odd' becomes 'rum' (rum can mean strange or dubious).
'degree' becomes 'ba' (Bachelor of Arts).
'rum'+'ba'='RUMBA'
(Other definitions for rumba that I've seen before include "Rhythmic dance of Cuban origin" , "Strictly round" , "Cuban folk dance" , "Burma (anag)" , "One from Cuba" .)