I haven't played Chrono Cross yet, but the atmosphere of the game is a lot different from Chrono Trigger. It actually reminded me a little of "Thief". But seriously, they can't just end the game in the middle of the most interesting moment, i.e.(SPOILER)Kid being seperated from Serge.(not sure how much sense it makes to insert a spoiler here, but nevermind)

As I said, I didn't play CC yet, but I read that it has hardly anything to do with the charaters from Radical Dreamers, appart from the names. Is this true or do they cover parts of the RD storyline?