Genuine-sounding dance (4)
I believe the answer is:
reel
'dance' is the definition.
(reel is a kind of dance)
'genuine-sounding' is the wordplay.
'genuine' becomes 'real' ('real' is associated in meaning with 'genuine').
'sounding' indicates a 'sounds like' (homophone) clue.
'real' is a homophone of 'REEL'.
(Other definitions for reel that I've seen before include "Something to fish with" , "Show astonishment" , "Lurch; spool" , "Lively dance and angler's spool" , "Scottish/Irish dance" .)