We have memes that meme on other memes that meme on basic memes, aka tier 3 memes.
A more advanced civilization has probably a much higher tier of meming where you need to learn meme lore for many years before you can comprehend state of the art memes. How high that tier is depends om the lifetime of individuals, I reckon humans could reach tier 10 before there are too many memes to fit in a lifetime.