Divests rhymes with:
invests, reinvests, vests, arrests, attests, bequests, best's, breasts, chests, crests, digests, fests, guest's, guests, guests', infests, invests, jests, midwest's, molests, natwest's, nests, northwest's, norwest's, pests, quests, reinvests, requests, rests, retests, southwest's, suggests, test's, tests, tests', vests, west's
Divests sounds like:
defects, deficit's, deficits, depicts, deposits, dipstick