Dance with weird graduate (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a type of dance)
'with weird graduate' is the wordplay.
'with' is a charade indicator (letters next to each other).
'weird' becomes 'rum' (I've seen this before).
'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 "One from Cuba" , "music one can dance to" , "What to perform" , "Caribbean dance" , "Afro-Cuban or ballroom dance" .)