You can get realtime information for where the CharmCityCirculator is now on NextBus. I knew that the CCC was going to have next vehicle arrival technology, and eventually ever stop would have a nextbus sign, but I don't know when that will be active. In the meantime you can check out NextBus on the web. I have heard that mobile alerts feature works similarly.
Why CCC doesn't have this posted on their website already is beyond me. There is a BusTracker feature, but is labled "coming soon".