Insists rhymes with:
consists, assists, consists, cysts, persists, assists, consists, cysts, enlists, exists, fists, list's, lists, mists, persists, preexists, quist's, resists, schists, twists, wrists
Insists sounds like:
incata's, incestuous, incites, inequities, ingots, injects, injudicious, injustice, injustices, inkatha's, insect's, insects, insides, insidious, insights, institute's, institutes, institutes'