Concept
This is not so much a game as it is an app. It would keep track of how often you check on an upcoming event. An animation would show up after everything was set up and the countdown would begin. After that, every time you would check on the progress the animation would give you a snarky remark about being impatient and add a tally mark. Once the event has arrived an alarm will go off and give a score of how impatient you are. You could challenge friends and see who is the most impatient of the group. They would have to be for comparable events because the likelihood of everyone waiting on the same event would be slim, though not impossible.
Example: You are waiting for a package to be delivered. You input the information for when the package is supposed to arrive. Every time you check on the status of the package the app will tell you the remaining time to delivery, time since you last checked, how many times you have checked, and an animation telling you to calm down.