Riveting rhymes with:
pivoting, pivoting, accrediting, attributing, auditing, balloting, blanketing, carpeting, crediting, dieting, discrediting, disquieting, editing, eliciting, ferreting, fidgeting, forfeiting, inhabiting, inheriting, inhibiting, limiting, marketing, meriting, misinterpreting, orbiting, picketing, piloting, pirating, pivoting, plummeting, pocketing, profiting, prohibiting, quieting, ratcheting, reinterpreting, remarketing, rioting, rocketing, skyrocketing, soliciting, targeting, telemarketing, ticketing, trumpeting, visiting, vomiting
Riveting sounds like:
rafting, rebutting, refitting, refuting, repeating, repetitions, repudiating, reputations