Make churchmen look like monkeys? (8)

I believe the answer is:

primates

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'monkeys?' is the definition.
(monkey is a kind of primate)

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

(Other definitions for primates that I've seen before include "Archbishops or apes" , "Apes; bishops" , "Lemurs, apes, men, etc." , "Animals including monkeys and apes" , "some leading churchmen" .)

I've seen this clue in The Irish News.

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