Something edgy about sport bringing bit of bad language (9)
I believe the answer is:
swearword
'bit of bad language' is the definition.
'something edgy about sport' is the wordplay.
'something edgy' becomes 'sword' (a sword has sharp edges).
'about' is an insertion indicator.
'sport' becomes 'wear' (sport can mean to wear or display on one's person).
'sword' placed around 'wear' is 'SWEARWORD'.
'bringing' is the link.
(Other definitions for swearword that I've seen before include "profanity" , "blast perhaps" , "Oath" .)