Dances with wife following a puzzle (6)
I believe the answer is:
jigsaw
'puzzle' is the definition.
(I know that puzzle can be written as jigsaw)
'dances with wife following a' is the wordplay.
'dances' becomes 'jigs' (jigging is a kind of dancing).
'with' is a charade indicator (letters next to each other).
'wife' becomes 'w'.
'following' is a charade indicator (letters next to each other).
'w' put after 'a' is 'aw'.
'jigs' next to 'aw' is 'JIGSAW'.
(Other definitions for jigsaw that I've seen before include "Puzzle with pieces to assemble" , "Puzzle-maker" , "Puzzle fittingly completed" , "Woodcutter" , "Puzzle - powered cutter" .)