I don't believe there's an atom of meaning in it.

"Well, it's no use your talking about waking him," said Tweedledum, "when you're only one of the things in his dream. You know very well you're not real."

Twas brillig, and the slithy toves Did gyre and gimble in the wabe: All mimsy were the borogoves, And the mome raths outgrabe.

Epithets, like pepper, Give zest to what you write; And if you strew them sparely, They whet the appetite: But if you lay them on too thick, You spoil the matter quite!

There's nothing a well-regulated child hates so much as regularity. I believe a really healthy boy would thoroughly enjoy Greek Grammar--if only he might stand on his head to learn it!

It is the privilege of true genius, And especially genius who opens up a new path, To make great mistakes with impunity

Well, "slithy" means "lithe and slimy." "Lithe" is the same as "active." You see it's like a portmanteau - there are two meanings packed up into one word.