Odd graduate seen in Cuban dance (5)
I believe the answer is:
rumba
'cuban dance' is the definition.
(I've seen this in another clue)
'odd graduate' is the wordplay.
'odd' becomes 'rum' (rum can mean strange or dubious).
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'rum'+'ba'='RUMBA'
'seen in' is the link.
(Other definitions for rumba that I've seen before include "Burma (anag)" , "Strictly round" , "Cuban folk dance" , "One from Cuba" , "Ballroom dance of Cuban origin" .)