I'd like to see:
- an extra symbol when the network is not working
- add an extra symbol when doing the check (could be e.g. a recycling symbol,
you now those twisted arrow)

Currently, it frequently happens that the network does not work
(orange-yellowish symbol) and then I plug in the network cable - and it stays
that way (because it has found a non-security-related package to update).
Similarily, I tend to wonder after a security update, whether I should kick it
to do a check now or whether it is doing so already.

(Show last log could be nicer too.)