Non-conformist bishop in dance (5)
I believe the answer is:
rebel
'non-conformist' is the definition.
(I've seen this before)
'bishop in dance' is the wordplay.
'bishop' becomes 'b' (abbreviation used in chess).
'in' is an insertion indicator.
'dance' becomes 'reel' (reel is a kind of dance).
'b' going into 'reel' is 'REBEL'.
(Other definitions for rebel that I've seen before include "Disobey" , "Unconventional type" , "One rising in opposition" , "He resists authority" , "Do things differently" .)