Pursued, being persistent (6)
I believe the answer is:
dogged
I believe this is a double definition.
'pursued' is the first definition.
(dogging is a kind of pursuing)
'persistent' is the second definition.
(thesaurus)
'being' acts as a link.
(Other definitions for dogged that I've seen before include "Followed - stubborn" , "Relentless in a canine way" , "Worried" , "Stubborn or determined in canine manner" , "Determined in canine way" .)