Possible Clues:

• That's an odd sort of degree from South America
• So-called 'dance of love'
• That's an odd sort of degree to get from South America
• Burma (anag)
• Caribbean dance
• Peculiar graduate in music
• Dance that's weird to a degree
• Rhythmic dance of Cuban origin
• Rhythm in Gershwin's ''Cuban Overture''
• Rhythmic dance