It's going to be complicated.
Could end up that Scotland is part of the EU and the rUK exits the EU. Then Wales and Northern Ireland could be unhappy about still being lumped with England since the strongest anti-EU sentiment is definitely concentrated in the south-east of England.
The Conservative party is the most vocal anti-EU of the main parties and yet also the most vocal about adopting Central European Time. Bit schizophrenic, eh? Of course the pro-Tory press will daily promote the idea that European legislation on human rights makes it easy for terrorists to avoid jail and give all prisoners who actually end up there a cushy time while immigrants get an easy life at tax payers expense. The people who swallow all that seem to be a bit oblivious to the fact that EU directives on human rights and employment also protect them, which is the real reason the Tories want out; it'll be easier to oppress the proles.