Bowled over by quiet dance (3)
I believe the answer is:
bop
'dance' is the definition.
(I know that bop is a more specific form of dance)
'bowled over by quiet' is the wordplay.
'bowled' becomes 'b' (cricket abbreviation).
'over' becomes 'o' (cricket abbreviation).
'by' says to put letters next to each other.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'b'+'o'+'p'='BOP'
(Other definitions for bop that I've seen before include "Dance to record" , "Form of jazz from the 1940s" , "Strike" , "Dance of the 1950s" , "Dance to pop music" .)