This widget which can be added to both home screen and lock screen displays the current beat time (Swatch Internet Time).

Beat time is a decimal time system in which the day is divided into 1000 equal .beats. There are no time zones in beat time. @0 occurs at 00:00 (UTC +01:00).

Note: The widget will stop updating at times because of Android's restrictions on background services in widgets. But, it will restart working once in 15 minutes, at least. While Android hasn't killed the widget, tapping on it will also restart the widget.

Unfortunately, this is the maximum a simple widget can do.