Make up with mouthy type getting grief (8)

I believe the answer is:

lipstick

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'make up' is the definition.
(lipsticking is a kind of making up)

I can't explain the remainder of the clue.

(Other definitions for lipstick that I've seen before include "Colour applied to the mouth" , "Item of face makeup" , "Type of paint" , "Cosmetic item" , "Pick list, oddly, for the cosmetic" .)

I've seen this clue in the Irish Times.

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