Funny, but as a speaker of Greek I never realised that it's in principle possible to basically create infinitely many, infinitely long new Greek words by stitching together word-roots and connectives, like "λόπαδ-ο τέμαχ-ο", etc.

I mean, has any linguist noticed this? The ability to (again in principle) embed infinitely many sentences is AFAIK an argument for the infinite generativity of natural language. Can the same argument be supported at the word-level also? And does anyone know whether it has?

Also, I think in German it's very common to string together words like that to form longer words. Are there more languages with that characteristic?