No, there is no log. It was planned at some point, and there is actually some preliminary support for it in the source code. So I think it probably could be implemented. Stable version for Harmattan (with all features of the Maemo version) is the most urgent work to do for this project now. But after that is done I could take a look at adding new features, and a log would be a good one. No promises, though. And it won't come soon anyway...