late 14c., earlier stinkend, from Old English stincende; present-participle adjective from stink (v.). Modifying drunk, first attested 1887; stinking rich dates from 1956.
it's a stinking world
stink
stink eye
stink-bug
stinker
stinkhorn
stinking
stinkpot
stinkweed
stinky
stint
stipe