Graduate has to report about dance (6)
I believe the answer is:
ballet
'dance' is the definition.
(ballet is a kind of dance)
'graduate has to report about' is the wordplay.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'has' means one lot of letters go next to another.
'to report' becomes 'tell' (to report is to tell someone about something).
'about' says the letters should be written backwards.
'tell' in reverse letter order is 'llet'.
'ba'+'llet'='BALLET'
(Other definitions for ballet that I've seen before include "Dance art form" , "Art of the Kirov or Bolshoi" , "The theatre of dance" , "Artistic dance form" , "Story performed to music by dancers" .)