The way travelled reportedly (4)
I believe the answer is:
road
'the way' is the definition.
(road is a kind of way)
'travelled reportedly' is the wordplay.
'travelled' becomes 'rode' (I've seen this before).
'reportedly' shows a homophone (sound like).
'rode' is a homophone of 'ROAD'.
(Other definitions for road that I've seen before include "Mine passage; way" , "Route travelled by sea" , "Way from A to B" , "mine gallery" , "Way travelled by boat" .)