I could be wrong, but I doubt that too many people with power in Europe are in the mood to place nice with the UK these days. The UK has long been a bit of a whiner about the EU, rightly or wrongly, even though they have generally gotten what they wanted out of the deal (for things of any importance, anyway). That bit of water provides a bit of a buffer for the UK and they didn't to act as if that buffer has magic powers that should shield them from any of the problems that countries with actual land borders face. A bit of the bullying sibling who wonders why he only gets 3 times as much food as everyone instead of just 2.
And as for EU-related program activities, fuck the UK. I don't actually want the UK to be fucked. I rather like it, and these types of referendum are, to me, a bit stupid. But you can't have it both ways. In or out. Out has consequences