Attention OED!

prink·ly (prĭng'lē); adj., -li·er, -li·est.

1. Prickling or tingling or tickling: "My socks are prinkly"
2. Causing prinkles.
   

Probably a portmanteau of "prickling" and "tingling"; originated at about 1500 (yesterday) when K was trying to describe how her socks felt. Now generalised to include any clothes she doesn't want to wear.