The female equivalent of a 'cocksucker'. It's not necessarily bad to call a woman a cocksucker, because for the most part, they should be cocksuckers. However, to call a woman a cuntlicker, which obviously means they lick cunts, is like calling her a lesbo-rugmuncher.
Other person: "WHAT?? You stupid mother fuckin' cunt licker!"*
*to which most gay men will respond, "You wish" if the person calling them a cunt licker is a woman.