That's not what a strengthening pound indicates.
Instead, it indicates fear of a financial recession, where the overall money supply drops (which is caused and exactly the same as bankruptcies, pulled lines of credit, etc.) - what we saw in 2008.
I'm certainly no expert here but there's no question that the Swamp in Brussels...populated by many,many,many Germans,Frenchmen,Spaniards and others who very much enjoy their Mercedes limos,Italian villas and smoked salmon luncheons...doesn't want Britain to leave.And simply put that's because they know that the first brick to fall will make it easier for the second brick.
I can easily see how currency traders would see this vote,and the possibility that Corbyn will become PM, as a sign that Brexit won't happen.
The Euro was down by more than the Pound was up.
Not much but, PANIC!!!