Fissile rhymes with:
fissel, fissell, antimissile, bisel, bissell, bristle, cissell, dismissal, entwistle, epistle, euromissile, fissel, fissell, glycel, gristle, hisel, kissel, kissell, missal, missel, missile, schissel, sissel, this'll, thistle, whistle, wissel
Fissile sounds like:
facciola, facial, facile, fagley, faisal, fascell, fassulo, fasulo, feagle, feasel, feazel, feazell, fecal, fegley, feigel, fessel, fickel, fickle, fiegel, figallo, figel, figley, fiscal, fiscally, fischel, fischl, fishel, fishell, fishkill, fishlow, fissel, fissell, fizzle, focal, fogal, fogel, fogle, foglia, foglio, fossel, fossil, foxhole, foxwell, fuklah, fusilli, fussell