Here's what rhymes with cuttim.
erratum Words that almost rhyme with cuttim
button mutton glutton piton sudden exciton globin dudgeon scutcheon nubbin dubbin bludgeon escutcheon unbutton androgen bellybutton custom caecum ahem accustom buxom corundum buncombe bunkum dumdum secundum cementum humdrum jejunum colostrum conundrum carborundum