This may come across as insufficient effort in searching, BUT:
After open searching, then trying out all the suggestions from here - and even looking for extensions to add weather to Vivaldi instead - I've given the weather quest up.
(I can just visit NOAA or Wunderground when I remember to do so...)
For my VISIBLE clock need I'm now using DS Clock via wine & it serves my need quite well.
(I was using Dclock found in Synaptic, but it is not nearly as good.)
DS Clock is nicely customizable - has the ability to use Wav files as chimes, and takes up very little screen real estate.
( https://www.dualitysoft.com/dsclock/index.html )
So...no dock for this old guy after all...phew.