Pester rhymes with:
amvestor, bester, brester, chester, ester, esther, fester, hester, investor, ivester, jester, kester, leicester, lester, mclester, mester, mestre, molester, nester, nestor, polyester, questar, requester, rester, semester, sequester, silvester, sylvester, sylvestre, tester, testor, trester, trimester, vestar, vester, westar, wester
Pester sounds like:
pacesetter, pachter, paster, pasteur, pastor, pastora, pastore, pastry, pasture, pasztor, peachtree, pesatori, pescatore, pfiester, pfiesteria, pfister, pfisterer, picketer, picture, pistor, pistorio, poster, posteraro, posterior, posture, postwar, psychiatry, pusateri