Swamping rhymes with:
chomping, romping, stomping, antidumping, bumping, camping, chomping, clamping, clumping, cramping, crimping, damping, dumping, jumping, lamping, limping, lumping, overdamping, pimping, pumping, ramping, revamping, romping, scrimping, skimping, slumping, stamping, stomping, stumping, tamping, thumping, tramping
Swamping sounds like:
sampans, semifinish, signifying, skimping, snapping, sniffing, sniping, snooping, snubbing, snuffing, succumbing, sunbeam's, symbion's, symphonic, symphonies, symphony's