Central New Jersey relatives provide a jacket (6)

I believe the answer is:

jerkin

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'jacket' is the definition.
(I know that jerkin is a type of jacket)

I don't understand the remainder of the clue.

(Other definitions for jerkin that I've seen before include "Sleveless jacket" , "jacket with no sleeves or collar" , "Short coat" , "leather jacket" , "Tight, sleeveless, collarless jacket" .)

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

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