Here's what rhymes with coverup.
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but such what much cut judge sub touch flood mud shut hut bud butt gut nut rub tub hub nought pub shrub sludge stud budge cub mot stub thud cud dub nudge putt rut slut snub tut wot abut adjudge fudge jut mutt nub sloughed smudge smut blood club clutch grudge scrub grub strut crutch glut overmuch uncut somewhat coconut insomuch undercut rebut pump jump pulp lump bump dump stump cusp hump rump slump thump gulp sump plump clump trump