Dickstein rhymes with:
hochstein, adelstein, arnstein, augenstein, bernstein, blaustein, bluestein, blumenstein, blumstein, breidenstein, breitenstein, burstein, doberstein, einstein, eisenstein, falkenstein, feldstein, gerstein, hauenstein, hertenstein, himmelstein, hochstein, hohenstein, hohnstein, hollstein, horenstein, hottenstein, katzenstein, kerstein, kirstein, klopfenstein, koberstein, laubenstein, levenstein, loewenstein, mermelstein, orenstein, ornstein, perlstein, rothstein, rubenstein, saperstein, sipelstein, vonstein, wettstein, wetzstein
Dickstein sounds like:
d'agostino, dagestan, dagostino, dakotan, daughton, dedication, deduction, degaetano, deighton, desiccation, destin, destiny, destitution, detection, detoxication, dichotomy, dictation, diction, dictum, dideoxycytidine, digaetano, digestion, digidyne, disdain, dissection, dissociation, doughten, dukedom, dustin, dustman, duston