Bandersnatch~A swift moving creature with snapping jaws, capable of extending its neck.
Beamish~Radiantly beaming, happy, cheerful.
Borogove~A thin shabby-looking bird with its feathers sticking out all round, "something like a live mop".
Brillig~Four o'clock in the afternoon, the time when you begin broiling things for dinner.
Burbled~Possibly a mixture of "bleat", "murmur", and "warble".
Chortled~Combination of chuckle and snort.
Frabjous~a blend of fair, fabulous, and joyous.
Frumious~Combination of "fuming" and "furious."
Galumphing~ a way of "trotting" down hill, while keeping one foot further back than the other.
Gimble~To make holes as does a gimlet.
Gyre~To go round and round like a gyroscope. However, Carroll also wrote that it also meant to scratch like a dog.
Jubjub~A desperate bird that lives in perpetual passion.
Manxome~Fearsome; the word is of unknown origin. 
Mimsy~Combination of "miserable" and "flimsy".
Mome~Possibly short for "from home," meaning that the raths had lost their way.
Outgrabe~Something between bellowing and whistling, with a kind of sneeze in the middle.
Rath~A sort of green pig.
Snicker-snack~An onomatopoeia of unclear meaning, possibly referring to sharpness.
Slithy~Combination of "slimy" and "lithe."
Tove~A combination of a badger, a lizard, and a corkscrew, curious looking creatures which make their nests under sundials and eat only cheese.
Tulgey~Thick, dense, dark.
Uffish~A state of mind when the voice is gruffish, the manner roughish, and the temper huffish.
Wabe~The grass plot around a sundial which goes a long way before it, and a long way behind it, and a long way beyond it on each side.