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"to bite gently," c.1500, perhaps from Low German nibbeln "to nibble, gnaw," related to Middle Low German nibbelen, Middle Dutch knibbelen "to gnaw," source of Dutch knibbelen "to cavail, squabble." Related: Nibbled; nibbling.
1650s, "act of nibbling," from nibble (v.). As "a small bite," from 1838.