Adsit rhymes with:
babysit, basset, bassett, bisset, bissett, blancett, blansett, blissett, crossett, dorset, dorsett, dossett, elicit, fassett, faucett, fausett, fawcett, fossett, gassett, gossett, gressett, grissett, hassett, hogsett, lancit, lipsett, massett, modesitt, neponset, poinsett, russet, russett, solicit, tacit, whitsett, whitsitt, winsett
Adsit sounds like:
addict, addicted, adduct, addwest, adequate, adjust, adjusted, atheist, attached, attacked, attest, attested, audacity