Outerwear rhymes with:
dinnerware, farberware, silverware, tupperware, underwear, vaporware, anywhere, bakeware, bundeswehr, compuware, cookware, delaware, delftware, dinnerware, earthenware, elsewhere, everywhere, eyewear, farberware, flatware, footware, footwear, giftware, glassware, groupware, hardware, houseware, kitchenware, knitwear, knowledgeware, munsingwear, neckwear, netware, noteware, nowhere, shareware, silverware, sleepwear, software, somewhere, sportswear, stoneware, swimwear, tableware, tupperware, underwear, vaporware, wickware
Outerwear sounds like:
o'dwyer, odder, oder, odier, odor, odwyer, oteri, otero, other, otter, outdoor, outer