Headset rhymes with:
handset, mindset, amagansett, ansett, asset, avocet, backset, exocet, handset, heavyset, inset, mediaset, mindset, morrisett, onset, outset, somerset, subset, sunset, typeset, videocassette
Headset sounds like:
hatched, hatchet, hatchett, hathcoat, heathcote, hedged, hedquist, hitched, hitchhiked, hot-shot, hotshot, hottest