Determined to do good again for the Editor (6)
I believe the answer is:
Here is my best explanation:
'determined' is the definition.
'do good again for the editor' is the wordplay.
'good again' becomes 'gg' (I can't justify this - if you can you should believe this answer much more).
'for' says to put letters next to each other.
'the editor' becomes 'ed'.
'to' is the link.
(Other definitions for dogged that I've seen before include "Tenacious, persistent", "Resolute, tenacious", "Stubborn or determined in canine manner", "Resolute; trailed", "Stubbornly persistent in canine way", "Stubbornly persisting", "Pursued - unflagging", "Shadowed; persistent", "Stubborn, in a canine kind of way" and "Persistent in a canine sort of way".)