heshiming

There are quite a few games with this mechanics on iOS. To name a few, Jetpack Joyride, Temple Run, Agent Dash, Chasing Yello, Rushing Alice, Tiny Wings, Ski Safari. And there are others I can't recall the name, the one with gingerbread man, and the one with birds.

Most of them are free, with in-app-purchase based power-ups. And the operations typically involves jump and dunk only. And for Jetpack Joyride, Ski Safari, Tiny Wings, they only involves one operation. It's not typical to have something to "shoot at".

You can also consult Doodle Jump, which is constantly moving, but at controllable progress.

In the end, you are asking whether it's a good idea. I have to say there are already many hits in this genre. So people are familiar with it. How they are designed, I have to agree with @slicer4ever on pacing. Some games are bad because they are too slow or fast. But you have to play the existing hits to get the idea.

First of all, Angry Bird is essentially a clone of Crush the Castle. A lot of games are based on the ideas of others. It's not a bad thing. It's like scientific discoveries are all based on previous work. Likewise, if you read the book named "Cracking Creativity", the author tells you that a lot of brilliant ideas are just combinations of other ideas. They are not some sparks of wise people.

Having said that, I don't think cloning is a viable road. Great ideas are carefully worked. Especially if you think the game is good, you shouldn't clone it. Take a game you considered average, try and see if you could make the mechanics even better. Then combine it with another theme to get a new game.