I think it's a right, but not a natural one - meaning you have to earn it, and it can be taken away if you abuse it.
That means it's a privilege John. If someone can take it away, then it's not truly a right.
Well, everything in the world can be taken away from you in some form, so using that criteria, nobody has any rights.
Personally, I consider a "right" to be something that the vast majority of people agree should never be taken away. Given that hardly anyone argues with taking away the ability to drive from someone who's absolutely incompetent at driving, I therefore don't consider driving a right.