Puzzle noticed after dance (6)
I believe the answer is:
jigsaw
'puzzle' is the definition.
(jigsaw puzzle is a type of puzzle)
'noticed after dance' is the wordplay.
'noticed' becomes 'saw' (I've seen this in another clue).
'after' is a charade indicator (letters next to each other).
'dance' becomes 'jig' (jigging is a kind of dancing).
'saw' after 'jig' is 'JIGSAW'.
(Other definitions for jigsaw that I've seen before include "Sharp tool (for cutting puzzle into pieces?)" , "Kind of puzzle" , "Problem with fitting in" , "As pastime" , "Puzzle-maker" .)