You should not worry, above all. The several million "children of divorce" in the EU i.e. EU citizens in the UK and UK citizens in the rest of the EU who have settled lives will not be thrown out and returned. Of that you can be entirely certain
Lets look at the FACTS that we have shall we?
When the referendum was announced as definitely going to happen, the home office made it HARDER for EU citizens to get proof of residencey, not easier (the Jan 2015 changes to EEA(PR).
When the referendum was an absolute certainty, the Home Office essentially (in practice, if not in paper) took away the naturalization through marraige route in December 2015.
Anecdotal evidence (MNers who have tried that route) has told us that the home office is turning down pretty much all Surrender Singh route applications since the announcement that we were deffinitely having a referendum
In April, the income requirements were INCREASED well above the average salary, again, just in time for the referendum
We know from families which are mixed British and non EU, that the home office have and do split families up
We also know that they do not have form for allowing people cross over time when they change the rules: proof being when they changed the naturalization through marriage, people whose applications arrived for processing under the old rules _as they were at the time on the gov website were rejected and had their 1k taken anyway
BoboChick please share some proof that makes you so certain that I'm wrong, if you can't STOP GIVING PEOPLE POTENTIALLY DANGEROUS ADVICE!!!!