Words That Rhyme With "Rigour" :
2 syllables:
agar, auger, augur, bagger, beader, beaker, beater, beeper, Beger, beggar, bigger, bleaker, bleeder, bleeper, Boger, cedar, cedarn, ceder, cheaper, cheater, chigger, chugger, clogger, cougar, dagger, deeper, dieter, digger, Dnieper, dogger, eager, eagre, eater, egger, feeder, fetor, flogger, foetor, fougere, gager, gagger, Geiger, Hagar, heater, Heber, hepar, Hoger, hogger, hugger, jaeger, jager, Jagger, Jeter, jigger, jogger, keeper, laager, lager, lagger, leader, leaguer, leaker, leaper, lieder, liger, liter, litre, logger, luger, lugger, maigre, mauger, maugre, meader, meager, meagre, meeker, meeter, meter, metre, mugger, Nager, nagger, neater, needer, neeper, Neper, nuggar, ogre, peeper, peter, pleader, plugger, sager, saggar, sagger, sauger, schlager, seabird, seaborn, seagirt, seater, seeder, seegars, Seeger, seeker, segar, sieger, skeeter, Slager, sleeker, sleeper, sleeter, sleigher, Sliter, slogger, slugger, snagger, sneaker, snigger, speaker, speeder, squeaker, stagger, steeper, sugar, swager, sweeper, sweeter, Swiger, tager, tagger, teacart, teeter, tiger, tugger, tweeter, Uigur, vaguer, Vidar, vigor, vigour, weaker, weeder, weeper, zieger, Ziegler
3 syllables:
antiquer, beleaguer, birdfeeder, debugger, Demeter, demetre, depleter, escheator, fourbagger, impleader, intriguer, masseter, misleader, prefigure, receiptor, rejigger, repeater, repleader, saltpeter, saltpetre, succeeder, transfigure