Does the iOS version of Chrono Trigger put save games in the cloud?

I am interested in playing Chrono Trigger on iOS, but before investing in the game was trying to ascertain if save games were placed in the cloud¹. I have a variety of iOS devices and can never be sure which one I'm going to have with me. Ideally my game progress would not tied to anyone device. Even though the game is listed as Game Center compatible the feature bullet doesn't elaborate in what way.

Are Chrono Trigger save games pushed to the cloud so that games in progress can be resumed from any iOS device?

_{1. I too hate the cloud marketing buzz word, but couldn't think of a more appriopriate term. :(}