Played and rode off with politician (6)
I believe the answer is:
romped
'played' is the definition.
(romping is a kind of playing)
'rode off with politician' is the wordplay.
'off' indicates anagramming the letters.
'with' is an insertion indicator.
'politician' becomes 'mp'.
'rode' with letters rearranged gives 'roed'.
'roed' placed around 'mp' is 'ROMPED'.
'and' is the link.
(Other definitions for romped that I've seen before include "Got home so easily" , "Red mop played happily" , "played with energy" , "Played in lively way as children do" , "cavorted" .)