Edginess rhymes with:
airworthiness, arbitrariness, bagginess, bitchiness, bounciness, clumsiness, cockiness, contrariness, coziness, craziness, creditworthiness, deadliness, dizziness, dreariness, drowsiness, emptiness, funniness, ghastliness, hairiness, happiness, healthiness, holiness, laziness, liveliness, loneliness, lousiness, nastiness, niggardliness, nosiness, orderliness, pettiness, queasiness, raciness, readiness, riskiness, roominess, rowdiness, scantiness, sexiness, shakiness, silliness, sleepiness, sloppiness, slovenliness, sturdiness, tardiness, tastiness, timeliness, trustworthiness, ugliness, uneasiness, unwieldiness, weariness, wimpiness, worldliness
Edginess sounds like:
edging, edison's, edisons, etching, etchings