Swivels rhymes with:
sivils, approvals, archrivals, arrivals, carnival's, carnivals, crovls, daredevils, devil's, devils, devils', evils, festival's, festivals, hovels, intervals, level's, levels, marvel's, marvels, nevels, nevils, novel's, novels, removals, revels, revivals, rival's, rivals, rivals', shovels, sivils, travels, unravels, upheavals, weevils
Swivels sounds like:
sables, sabol's, savalas, scofflaws, scuffles, shapeless, shovels, showplace, shuffles, siebels, sivils, sobil's, sobils, soboleski, sobolewski, sobolik, spellacy, spells, spill's, spillage, spills, splash, splashes, splashy, splice, splices, spoilage, spoils, squabbles, subhlok, sublease, suffolk, supplies, supply's, syphilis