Chrono Cross doesn't include time travelling in it's storyline... it's all about parallel dimensions. The story is a bit of a mess but that's true in any other JRPG.
You only level up after bosses, and I think the only good thing it does is expanding the element chart. You don't even need to grind!
You get a lot of characters in the game btw and each one of them has 2 or 3 special skills. It's pretty cool actually but you can't get everyone in the first playthrough.
"I've Underestimated the Horse Power from Mario Kart 8, I'll Never Doubt the WiiU's Engine Again"