Answer:
There are several things that can happen. One is, if you are caught in the state that the license is suspended you will be arrested until the fine is payed. If there are added charges they must also be payed. If you are pulled over in another state, so long as you have no warrents against you, they will not bother you. There are other things such as points against your license and the reason you are pulled over or checked to begin with.