Onsite rhymes with:
incite, cite, de-excite, excite, incite, overexcite, recite, sight, site, alight, allright, alright, benight, bight, bite, blight, bright, brite, byte, cite, clevite, clyte, contrite, de-excite, delight, despite, disinvite, dunite, dwight, ebright, enright, enwright, excite, feit, fight, fite, flight, forthright, fright, height, heit, hiett, hight, hite, ignite, incite, indict, indite, invite, kight, kite, knight, kyte, lafite, light, lite, macknight, mccright, mcknight, mcright, mcwhite, mcwright, might, mite, night, nite, nonwhite, outright, overexcite, overnight, overnite, overwrite, plight, polite, quite, recite, reignite, reinvite, reit, reunite, rewrite, right, rite, riunite, satterwhite, scheidt, semi-height, sight, site, sleight, slight, spight, spite, sprite, streit, strite, tight, tonight, tonite, trite, twite, upright, uptight, white, whyte, wight, wright, write, zeit
Onsite sounds like:
ohnstad, onset, onstad, onstott, ounsted