Cleric doesn’t stop at the brink (5)
I believe the answer is:
verge
'the brink' is the definition.
('verge' can be a synonym of 'brink')
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for verge that I've seen before include "Margin, edge" , "Border - edge" , "Grass edge to road" , "emblem of office for bishop" , "Side of road" .)