Phagocyte rhymes with:
anthracite, leukocyte, lymphocyte, magnesite, parasite, plebiscite, andesite, anthracite, brucite, calcite, eyesight, felicite, foresight, granulocyte, gravesite, hindsight, hussite, insight, leukocyte, lucite, lymphocyte, magnesite, oversight, parasite, plebiscite, procyte, starsight, website
Phagocyte sounds like:
pabst, paced, packaged, packed, packet, packett, packwood, pact, pacto, paged, paget, pagett, pagette, pagoda, paquet, paquette, pascutto, passat, passed, past, pasta, paste, pasted, paucity, paused, pazuto, peaked, pecht, pecot, peeked, pegged, peixoto, pepcid, peseta, pest, pesta, peugeot, pfost, phased, phaseout, physicist, piaget, pichette, picht, picked, picket, picketed, pickett, picotte, pictet, pieced, piechota, piggott, pigott, pigsty, piqued, piquette, piscataway, pisciotta, pissed, pizatti, pizzuti, pizzuto, poached, pobst, pocked, pocket, pocketed, poised, poked, pokeweed, poquette, posada, posed, posit, posited, possessed, post, postdate, postdated, posted, postit, poust, pseudo, psyched, puckett, puget, puget-1, pushed, pussycat