I have a watch that is piwered by movement, and it is analog. Love the thing cause I don't have to remember to charge it or replace the batteries, it charges when I wear it. However if I forget to wear it it will likely die. But then I just give it a good shake and update the time.

I don't know why you would need a clock if you're trapped in your house. Maybe if you have to take pills at a specific time but usually you can be off by an hour or two which I can tell simply by looking outside and sensing time internally.