ETYM Old Fren. coife, French coiffe, Late Lat. cofea, cuphia, from Old High Germ. kuppa, kuppha, miter, perh. from Latin cupa tub. Related to Cup; but cf. also Cop, Cuff the article of dress, Quoif.
A skullcap worn by nuns under a veil or by soldiers under a hood of mail or formerly by British sergeants-at-law.
Close-fitting cap or hood, especially of women; skull cap; any headdress.

1. To cover or dress with or as if with a coif
2. To arrange (hair) by brushing, combing, or curling