From The Collaborative International Dictionary of English v.0.48:
Itch \Itch\ ([i^]ch), v. i. [imp. & p. p. Itched ([i^]cht); p. pr. & vb. n. Itching.] [OE. icchen, [yogh]icchen, AS. giccan; akin to D. jeuken, joken, G. jucken, OHG. jucchen.] [1913 Webster] 1. To have an uneasy sensation in the skin, which inclines the person to scratch the part affected. [1913 Webster]
My mouth hath itched all this long day. --Chaucer. [1913 Webster]
2. To have a constant desire or teasing uneasiness; to long for; as, itching ears. "An itching palm." --Shak. [1913 Webster]
From The Collaborative International Dictionary of English v.0.48:
Itch \Itch\, n. 1. (Med.) An eruption of small, isolated, acuminated vesicles, produced by the entrance of a parasitic mite (the Sarcoptes scabei), and attended with itching. It is transmissible by contact. [1913 Webster]
2. Any itching eruption. [1913 Webster]
3. A sensation in the skin occasioned (or resembling that occasioned) by the itch eruption; -- called also scabies, psora, etc. [1913 Webster]
4. A constant irritating desire. [1913 Webster]
An itch of being thought a divine king. --Dryden. [1913 Webster]
Baker's itch. See under Baker.
Barber's itch, sycosis.
Bricklayer's itch, an eczema of the hands attended with much itching, occurring among bricklayers.
Grocer's itch, an itching eruption, being a variety of eczema, produced by the sugar mite (Tyrogluphus sacchari).
Itch insect (Zool.), a small parasitic mite (Sarcoptes scabei) which burrows and breeds beneath the human skin, thus causing the disease known as the itch. See Illust. in Append.
Itch mite. (Zool.) Same as Itch insect, above. Also, other similar mites affecting the lower animals, as the horse and ox.
Sugar baker's itch, a variety of eczema, due to the action of sugar upon the skin.
Washerwoman's itch, eczema of the hands and arms, occurring among washerwomen. [1913 Webster]