In Germany (and in neighboring countries), radio-controlled clocks are quite common for this purpose, listening to DCF77 near Frankfurt [1].
Long wave seems to work a bit better than the L-band for indoor propagation, and it probably also helps that the transmit power is three orders of magnitude higher.
I'm not sure if the US has an analogous service – there's WWV and WWVH, but they are shortwave transmitters, and I don't know if wall clock or even wristwatch size receivers are possible for that.
It does. Small WWVB clocks that self set are quite common.
It makes sense that a company might make those, if they also make the NTP servers that those clients might be connected to.
Good stuff. I'm planning on buying some for the house.