Gene is out of grievances with ministers (6)
I believe the answer is:
vicars
'ministers' is the definition.
(I've seen this before)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for vicars that I've seen before include "Members of clergy in charge of churches" , "clergymen" , "Ministers" , "those taking tarts to party" .)