Nonconformists having dances, including bishop (6)
I believe the answer is:
rebels
'nonconformists' is the definition.
(rebel is a kind of nonconformist)
'dances including bishop' is the wordplay.
'dances' becomes 'reels' (reel is a kind of dance**).
'including' means one lot of letters goes inside another.
'bishop' becomes 'b' (abbreviation used in chess).
'reels' placed around 'b' is 'REBELS'.
'having' acts as a link.
(Other definitions for rebels that I've seen before include "They resist authority, perhaps with force" , "Resists" , "Insurgents, mutineers" .)