Controlling a monkey in a transparent ball on a variety of maze like platforms would surely be a great choice for mobile gaming.
One level, for example involved rolling along a raised platform with no sides that got progressively narrower, just for that extra layer of difficulty. Therefore, there is a rhythmic aspect to the game.
As the game is timed, it makes it a really great choice for a mobile device, for quick but fun game play. The phone itself would be used to roll the ball accordingly (with the gyroscope), just like the analog stick in the original game. The most subtle movements of the game would have a direct consequence to the game and hand-eye coordination would be much needed.