Limping rhymes with:
crimping, pimping, scrimping, skimping, antidumping, bumping, camping, chomping, clamping, clumping, cramping, crimping, damping, dumping, jumping, lamping, lumping, overdamping, pimping, pumping, ramping, revamping, romping, scrimping, skimping, slumping, stamping, stomping, stumping, swamping, tamping, thumping, tramping
Limping sounds like:
lambing, lamping, lampoon's, lumping, lymphomas