One gets a bit attached to it (6)

I believe the answer is:

bridle

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'it' is the definition.
The definition suggests a singular noun which matches the answer.

I can't explain the remainder of the clue.

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(Other definitions for bridle that I've seen before include "Headgear used to control a horse" , "Part of horse's harness that goes on its head" , "Check" , "A curb; show scorn (at)" , "a bit? That's part of it" .)

I've seen this clue in The Globe and Mail.

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