The science was always going to be the first one to be hit from brexit. Basically the system is based on funding collaborations across the EU, and rightly or wrongly, collaboration groups are dropping UK based research institutes as a high risk to the projects funding prospects. There has been no real impact yet as very few grants have been awarded since the vote, but as we see the next few rounds of various Horizon 2020 EU grant scheme go through we will see a drop in funding going to the UK.
Next that will be obvious is the decrease in funding for regional development, and that will be when it starts to impact the people that actually voted to leave. That is going to take a year or so to become obvious.
My frustration with the referendum is that the leave side of the vote wasn't actually had no specific actions assigned to it in the law that set it up, in the end it was a very expensive nation wide opinion poll on EU membership. In a way, people who voted leave didn't actually vote for anything concrete.
The vote should have had article 50 legislatively tied to the vote when the referendum was first setup, with an automatic and immediate invocation of it outside the control of the UK parliament and prime minister. It would have dramatically curtailed the leave campaigns ability to basically come up with contradictory and fanciful scenarios of what voting leave would mean, it would have been a much starker and obvious choice.