Cleric almost on edge (5)

I believe the answer is:

verge

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'edge' is the definition.
(I know that verge is a type of edge)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for verge that I've seen before include "Margin, edge" , "emblem of office for bishop" , "Grassy road edge" , "Side of road" , "Border - edge" .)

I've seen this clue in The Mirror.

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