Calcite rhymes with:
andesite, anthracite, brucite, eyesight, felicite, foresight, granulocyte, gravesite, hindsight, hussite, insight, leukocyte, lucite, lymphocyte, magnesite, oversight, parasite, phagocyte, plebiscite, procyte, starsight, website
Calcite sounds like:
calcote, calcutt, calcutta, calista, callicoat, callicott, callicutt, calloused, calzada, celesta, celeste, cellist, chalked, chalsty, checklist, chilcoat, chilcote, chilcott, chilcutt, chillicothe, chilliest, clagett, claggett, clashed, classed, classicist, cliched, clicked, cliggott, cloaked, clocked, clogged, closed, closest, closet, closeted, coalesced, colgate, collect, collected, collegiate, colquitt, coolest, cyclist