Yours, Etc.: Origins and Uses of 8 Sign-Offs
1580s, of uncertain origin, probably alteration of Middle English grim "dirt, filth" (early 14c.), from Middle Low German greme "dirt," from Proto-Germanic *grim- "to smear" (cf. Flemish grijm, Middle Dutch grime "soot, mask"), from PIE root *ghrei- "to rub." The verb was Middle English grymen (mid-15c.) but was replaced early 16c. by begrime.