As an adjective it implies a pertinance to the author of Alice's
Adventures in Wonderland. The noun form (Carrol)is far more formalized, used only in instances where the subject is quite familier.
1: Used to describe someone who uses
nonsensical words with relative ease.
2: A person who is capable of saying a silly or
ridiculous sounding word or phrase without actually sounding ridiculous.
3: Someone who routinely replaces actual words with words like 'flibbertygibbet' or 'whatchamahoozit' yet somehow manages to convey the meaning of the intended word.