hangnail
n.
also hang-nail, 1670s, apparently from hang, v. + (finger) nail, but probably folk etymology from Old English agnail "a corn on the foot, painful spike (in the flesh)" from Proto-Germanic *ang- "compressed, hard, painful" (from PIE *angh- "tight, painfully constricted, painful;" see anger) + Old English nægl "spike" (see nail, n.).