Heya Kundalineage, welcome to the party!
So way back when, we had
a thread on Chrono Cross sounds. That went into some nitty-gritty territory, but I link it here in case you end up getting interested in a wider investigation.
The reason why there isn't more documented on Chrono Cross sound files is (IMO) that the storage was so darn
messy. Each room has its own dedicated file archive on disc, containing a set of character models and sound effects particular to that environment. Therefore, sounds are replicated all over the disc, making manual documentation a chore. I figure it was designed this way for quick loading: if the game engine can just bust all the resources it needs right now out of a single archive, it doesn't have to spend as much time searching the disc for files.
Anyway, you can use a program called
PSound to hunt for sounds on the Chrono Cross discs and convert them to .WAV files. It'll be like ye olde needle in a haystack, but on the bright side, that needle will occur as many times as there are save points if I'm remembering this stuff correctly.