(Ironically, old Chinese rhyme dictionaries have considerable scholarly importance because they allow us to determine whether old Chinese text probably rhymed, a task the text itself does not help with. They are less valuable for the other direction of retrieving a list of rhymes for a particular character.)
Rhyme dictionaries are significantly older than that. https://en.wikipedia.org/wiki/Qieyun
(Ironically, old Chinese rhyme dictionaries have considerable scholarly importance because they allow us to determine whether old Chinese text probably rhymed, a task the text itself does not help with. They are less valuable for the other direction of retrieving a list of rhymes for a particular character.)