Divest rhymes with:
invest, reinvest, vest, abreast, acquiesced, addressed, addwest, arrest, assessed, attest, behest, bequest, best, beste, blessed, blest, breast, brest, bud-test, c'est, caressed, celeste, chest, chrest, coalesced, compressed, confessed, congest, crest, d'allest, depressed, dest, detest, digest, digressed, dispossessed, distressed, dressed, eastern-west, este, expressed, farwest, fessed, fest, finessed, gest, guessed, guest, impressed, indigest, infest, ingest, invest, jest, key_west, lest, messed, mest, midwest, molest, natwest, nest, neste, northwest, norwest, obsessed, oppressed, penwest, pest, possessed, pressed, prest, professed, progressed, quest, rearrest, reassessed, recessed, reinvest, repossessed, repressed, request, rest, retest, self-professed, southwest, stateswest, stressed, suggest, suppressed, telequest, telewest, test, transgressed, trest, unaddressed, undressed, unimpressed, unrest, vest, west, wrest, yest, yoest, zest
Divest sounds like:
debased, deepest, defaced, defect, defected, deficit, defused, depict, depicted, deposed, deposit, deposited, devastate, devastated, devised, diapsid, diffused, divested