Woodling rhymes with:
goodling, beadling, cuddling, dawdling, edling, fiddling, foundling, goodling, groundling, handling, kindling, ladling, mishandling, needling, panhandling, pindling, rekindling, ridling, sandling, seedling, shandling, spradling, straddling, stradling, swindling, toddling, twiddling, unbundling, wandling, wendling, zwerdling