I personally don't know.
We turned on tracing and figured out the problem before getting to production (Business misconfiguration).
If I have more time I may try to build a patch that will allow a reasonable level of logging (Full Request / Full Response).
If that ever gets done than whatever logging suite you are using should be configurable to log based on whatever conditions you're looking for.
I wouldn't expect to see that available in the next few months as we're really busy with other initiatives unrelated to RestSharp.
G