So many people ask similar questions here, and in the megathreads you will find your answer. But nonetheless, I will recite the verdict for you.
You will not be in danger of respiratory failure at those low doses, especially considering the nature of buprenorphine and its metabolites and their effects on the respiratory system (they are minimal compared to heroin and other full-agonist opiates/opioids, but regardless, the respiratory depression is not to be neglected). I assume you mean <1mg (less than) of clonazepam/klonopin? Such a dose would be fine unless your medical history would indicate adverse effects to benzodiazepines; just don't drink alcohol on top or use other CNS depressants, unless you know your boundaries very well.
It can take some time to adjust to lowered doses due to the long half-life of buprenorphine. Yet at very low doses of buprenorphine, the 'opiate effects' become more prominent and anxiolytic effects stronger felt - so give it a while and try not to crawl out of your skin and resort to benzos (I've done that and regret it, benzo wd is hell and are very confusing and discomforting). Save your klonopin for when you jump off and need to induce sleep, and use as little as possible for as short a duration as possible.