We can use the Show History feature to see the save history of our project. If worksets are enabled we'll be described as Working in Central if we are also using Worksharing Monitor. This happens if we browse to the central file to access the save history. If we do this while working in a local file we'll be listed twice in Worksharing Monitor, once for your local file and another for the central.
No worries, we are not really in the central file, at least not in a position to save or alter anything. Review the history and close it when done, no harm done.