I wonder what happens to .co.uk if the UK dissolves, which seems more possible than it should be after Brexit?
Unlikely Brexit ever happens. There's too much at stake here, globalists would never let it happen. If UK detaches from the EU and it becomes successful, the EU project is over.
What I see happening is that in some countries the EU become the scapegoat for the government corruption and incompetence, usually you could use the other party that was before to blame them but if your party was in power for more then 8 years then is harder to find scapegoats.