It is important to understand the difference between addiction and dependent.
It seems you are physically dependent on klonopin like anyone who takes it for a period of time. Your doctor seems quite ignorant about this drug. First it is extremely quick to become physically dependent. Not taking it every day is a good tactic and should ease any move away from it but it can be a real challenge and take longer than expected. And NO cold turkey.
Your body is habituated to it and will complain loudly if you reduce the drug. There is finally some decent help out there for benzo tapering. As mentioned by other person, the Ashton manual is an absolute must read. She is a real doctor who helped hundreds of people get off benzos and is a true pioneer in understanding it and what works versus what doesn't.
Addiction would be if you were using/abusing it to tamp down emotional pain, memories, feelings, etc.
Be well and have courage. I went through it after 20 years of klonopin.
@madscientist
If you want to, can you share what dose you were on and how long it took to get off?
If not, thank you for your comments. So glad you got off!