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Synonyms for Chafe (same or very similar meaning)

WordNet sense 1 (anger produced by some annoying irritation):
annoyance, vexation

WordNet sense 2 (become or make sore by or as if by rubbing):
fret, gall

WordNet sense 3 (cause annoyance in; disturb, especially by minor irritations):
annoy, bother, devil, gravel, irritate, nark, nettle, rag, rile, vex, get at, get to

WordNet sense 4 (tear or wear off the skin or make sore by abrading):

WordNet sense 5 (cause friction):
fray, rub, scratch

From the ODE community, based on WordNetadd/edit