Chrono Cross has a unique cast of characters and takes place in the same world as Chrono Trigger.

If you liked Chrono Trigger, then you may enjoy playing this game. If you did not like Chrono Trigger, then you probably will not enjoy playing this game unless its quirky gameplay mechanics appeal to you.

The truth is that Chrono Trigger and Chrono Cross play very differently. You can't necessarily base your enjoyment of one off of the other, but it certainly helps you if you are a fan of its predecessor. Why don't you try playing through a part of it and seeing if it works for you?