Responsible for reaching resolution (2,6)
I believe the answer is:
in charge
'responsible' is the definition.
(I've seen this before)
'reaching resolution' is the wordplay.
'resolution' indicates an anagram.
'reaching' anagrammed gives 'IN CHARGE'.
'for' is the link.
(Other definitions for in charge that I've seen before include "Taking command" , "At the helm" , "Managing" , "Leading" , "as a responsible person" .)