Push bike reportedly (6)
I believe the answer is:
peddle
'push' is the definition.
(thesaurus)
'bike reportedly' is the wordplay.
'bike' becomes 'pedal' ('pedal' can be a synonym of 'bike').
'reportedly' shows a homophone (sound like).
'pedal' sounds like 'PEDDLE'.
(Other definitions for peddle that I've seen before include "Deal illegally in (not a lever on a cycle!)" , "Tout" , "push" , "Hawk, sell" , "Sell from place to place" .)