All languages in the world that I know of use words with more than one syllable. Are there any where all words have strictly one syllable? That would mean that there is just one vocal cluster per word, be it a single vowel (short or long) or a diphthong.
I have read that Chinese or Vietnamese has polysyllabic words even though morphemes are monosyllabic. That would be the closest I have found. Are there any real monosyllabic languages out there?
As @leoboiko explains below, the number of possible syllables would need to be quite high to support a sizeable vocabulary. But it is not unfeasible to combine e.g. 30 consonants 'C' with 9 vowels 'V' with 5 semi-consonants S, to yield 30 x 5 x 9 x 5 x 30 ~ 200k possible combinations with the structure CSVSC. Adding some tones like in SE languages would give us even more possibilities. The question is, does this happen in practice?