Nibbling rhymes with:
dribbling, quibbling, scribbling, ambling, assembling, babbling, bubbling, bumbling, crumbling, dabbling, disabling, doubling, dribbling, ebeling, ebling, enabling, fumbling, gambling, gobbling, grumbling, helbling, hobbling, humbling, labeling, liebling, mislabeling, mumbling, niebling, quibbling, redoubling, resembling, robling, rumbling, scrambling, scribbling, squabbling, stribling, stumbling, tabling, trembling, troubling, tumbling, warbling, wobbling
Nibbling sounds like:
napoleon's, napoleonic, niebling, nobleman's, nonviolence