The UK has existed long before the EU. This whole thing is an over reaction.
I predict:
* After freak out is over, pound will stabilize and increase in value slowly.
* Cheap pound will be around for a while, and it will help the economy a little.
* There will be some flux and talk for a while ...
But after a few months, and people realize that the world is turning ( as it had before the EU existed), and not much has changed, that will give them pause and wonder if it all really mattered.