The Collaborative International Dictionary of English v.0.48:

Amice \Am"ice\, n. [OE. amyse, prob. for amyt, OF. amit, ameit,
   fr. L. amictus cloak, the word being confused with amice,
   almuce, a hood or cape. See next word.]
   A square of white linen worn at first on the head, but now
   about the neck and shoulders, by priests of the Roman
   Catholic Church while saying Mass.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Amice \Am"ice\, n. [OE. amuce, amisse, OF. almuce, aumuce, F.
   aumusse, LL. almucium, almucia, aumucia: of unknown origin;
   cf. G. m["u]tze cap, prob. of the same origin. Cf.
   Mozetta.] (Eccl.)
   A hood, or cape with a hood, made of lined with gray fur,
   formerly worn by the clergy; -- written also amess, amyss,
   and almuce.
   [1913 Webster]