Feigning rhymes with:
abstaining, ascertaining, attaining, campaigning, caning, chaining, complaining, constraining, containing, deigning, detaining, disdaining, draining, entertaining, explaining, gaining, haning, laning, maintaining, obtaining, ordaining, overtraining, pertaining, raining, refraining, regaining, reigning, reining, remaining, restraining, retaining, retraining, staining, straining, sustaining, training, waning
Feigning sounds like:
facing, facings, faking, fasching, fashion's, fashioning, fashions, fausnaugh, faxing, feagans, feagins, figgins, fijians, fishing, fisons, fixing, fixings, focusing, fosamax, fosnaugh, foxman's, fucking, fujisankei, fukunaga, fusing, fussing