I thought it might be the Giraffe, considering your other question (having had a giraffe's tongue stuck though the car window at the East Midland Safari Park on several occassions!) but it seems they can't (their face is also long). The answer is a relative of the Giraffe, the Okapi. "The tongue of the okapi is long enough for the animal to wash its eyelids and clean its ears (inside and out): it is the only mammal that can lick its own ears. Fourteen to eighteen inches (36-46 cm) in length, the sticky tongue is pointed and bluish gray in color like the giraffe's" http://en.wikipedia.org/wiki/Okapi
(Male Okapi, by the way, also have similar short, skin-covered horns called "ossicones").