Zipper rhymes with:
chipper, clipper, dipper, flipper, gipper, hipper, kipper, kippur, knipper, lipper, nipper, ripper, schipper, shipper, skipper, slipper, stripper, tipper, tripper
Zipper sounds like:
zavery, zebra, zephyr, zifferero, ziobro, zipperer, zippora, zuber, zuver, zweber