Insistence rhymes with:
consistence, assistance, consistence, persistence, self-subsistence, subsistence, assistance, coexistence, consistence, distance, existence, outdistance, persistence, resistance, resistence, self-subsistence, subsistence
Insistence sounds like:
immunizations, incidence, incidences, inciting, ingesting, injecting, injections, insisting, instance, instances, instituting, institution's, institutions, institutions'