Neater rhymes with:
beater, cheater, deater, deeter, demeter, demetre, depleter, dieter, eater, heater, heeter, jeeter, jeter, keator, keeter, keiter, liter, meter, molitor, peter, pieter, praetor, repeater, schleeter, seater, skeeter, sleeter, sliter, streater, streeter, strieter, st_peter, sweeter, teater, teeter, teter, treater, vanmeter, vanmetre, vietor, yeater
Neater sounds like:
n'dour, nader, nadir, natter, nature, neathery, nedrow, needier, neider, neither, nether, nethery, netter, netware, neuter, nieder, niederer, nitro, notaro, notary, noteware, nother, notre, notter, nutri, nutria, nutter