Touching rhymes with:
retouching, clutching, retouching, approaching, arching, attaching, beaching, belching, beseeching, birdwatching, bleaching, blotching, branching, breaching, breeching, broaching, bunching, catching, clinching, clutching, coaching, couching, crouching, crunching, dispatching, ditching, drenching, encroaching, enriching, entrenching, etching, fetching, flinching, hatching, hitching, impeaching, inching, itching, kitching, latching, launching, leaching, lunching, lurching, lynching, marching, matching, melching, mulching, munching, outpouching, overarching, overreaching, patching, pinching, pitching, poaching, preaching, punching, quenching, ranching, reaching, researching, retouching, retrenching, rewatching, scorching, scratching, screeching, searching, sketching, slouching, snatching, snitching, squelching, stanching, stitching, stretching, swatching, switching, teaching, torching, twitching, unflinching, vouching, watching, witching, wrenching
Touching sounds like:
tacking, tacoma's, taganka, tagging, takanashi, taking, takings, tasking, taxiing, taxing, teaching, teachings, teasing, technic, technics, technique, techniques, technomic, tecumseh, texan's, texans, thesing, thickening, thickens, thickness, thyssen's, ticinus, ticking, tokens, tokunaga, toscanini's, tossing, toughening, toughens, toughness, toxins, tsang, tseng, tsiang, tsongas, tsongas', tsongas's, tucking, tudjman's, tugging, tusing, tussing, tweaking, twitching, tycoon's, tycoons, tyson's, tysons