Regiment rhymes with:
adamant, argument, armament, complement, condiment, detriment, diamant, disarmament, element, excrement, experiment, filament, impediment, implement, increment, instrument, integument, ligament, ornament, orpiment, parliament, predicament, rearmament, sacrament, sediment, sentiment, supplement, temperament, tenement, testament, tournament, vehement
Regiment sounds like:
reaganite, reagent, reasoned, reassessment, reassigned, reassignment, reassumed, reawakened, recant, recanted, recent, reckoned, recommend, recommended, recommit, recommited, recondite, recount, recounted, reexamined, regained, regent, regimented, reichmuth, reigned, reignite, reignited, rejoined, rescind, rescinded, resende, resent, resented, resigned, resonant, resonate, resonated, resound, resumed, richemont, richmond, rosamond, rosamund, rosemead, rosemond, rosemont, rosmunda