It's still possible though that if an underlying anxiety issue was causing you to want to use the Klonopin to start. It wouldn't be physical withdrawal, but a mental one.
You won't get sick, but your anxiety might worsen for a time to some small extent.
Just stay strong, you're making the right choice, benzos are not a good thing to get hooked on.
The best of luck to you, and be sure to let us know how things go.