Smithereen rhymes with:
aquamarine, careen, corinne, figurine, mandarine, marine, noreen, sarene, serene, tambourine, tangerine, wolverine
Smithereen sounds like:
sanhedrin, santorum, schneiderman, skenderian, smitherman, smotherman, smothermon, sonderman, sumatran, sunderman, symtron, syndrome