Language is compression of a sort. A dictionary is a decompressor. You look up one word, and you may get a paragraph about its meaning. An encyclopedia can be thought of as roughly the same with more detail for some nouns.
It makes a lot of sense why dictionary-based compression is named the way it is. A shorter symbol is used to store information that would take more symbols in the uncompressed corpus, if the shorter symbol hadn't been assigned to represent it. That's in a way just what an actual dictionary on your English professor's shelf does. The big difference is your compressor is coining new short symbols all the time.
I'd say the bigger difference is the lack of homophones in a compressor.
Languages add new words constantly, albeit slower than a computer does compressing a new file.