Dance with odd graduate (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a type of dance)
'with odd graduate' is the wordplay.
'with' says to put letters next to each other.
'odd' becomes 'rum' (rum can mean strange or dubious).
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'rum' put next to 'ba' is 'RUMBA'.
(Other definitions for rumba that I've seen before include "Latin beat" , "Dance originating in Cuba" , "Lively Cuban dance" , "Strictly round" , "music one can dance to" .)