According to Destructoid and my own research on the App Store, Mirror’s Edge for iPhone and iPad is being sold for free today only as part of an EA promotion. Said promotion also includes Tetris DLC, among other things.
I loved Mirror’s Edge despite its many flaws, but a 2D variant could indeed be the better framework to base a game like this on. Perhaps I’ll try it out this afternoon. Perhaps not, but I’ve downloaded it anyway. Free is free, after all.