Persistently harassed (4)
I believe the answer is:
rode
'persistently harassed' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for rode that I've seen before include "Travelled by bike" , "Travelled on the back of an animal" , "Travelled on horse" , "Went on horeseback" , "Went on horseback" .)