You could display many timestamps simultaneously (every minute this hour, or ±30 minutes, etc.) and use color inversion to highlight the current time. Or make it a progress bar, where the time moves through the hour or day. Or maybe show recently-edited Wikipedia pages. Maybe you'll see something interesting. Or StackExchange hot network questions. Or check out what productivity/PIM apps were popular on the old 160x160 PalmOS devices, maybe there's inspiration to be had there.