I definitely live in a bubble. I didn't see the Leave vote coming. I didn't think anyone reasonable would vote for it. I think it's a disaster. I have/had personal interests in UK staying close to/with the EU. My view is probable coloured by all of this.
Having said that, I know (only) three people who have actually told me they support Brexit and want us to leave, and voted for it.
One is a lovely person, who doesn't care about sovereignty as a concept, as far as I know, but has seen the brunt of the austerity cuts. She genuinely believed leaving EU would mean more money for the poor in the UK and for the NHS.
One seems to be going through early stages of dementia. She doesn't really have a lot of reasons behind her decision, apart from EU bad. Also if we weren't in the EU, we could support pensioners and the NHS.
One is quite mentally ill and elderly. He also expects us to be able to support pensioners and the people now struggling on benefits, if only we didn't have to pay so much to the EU.
So a tiny sample of three, but they all expected the Leave vote to leave the UK in a better economic situation, which would in turn be used to care for the vulnerable people within the country. It seems weird to me, as none of them are in general lacking of healthy cynicism, so I don't really get why they they think extra money (how?!) automatically means more money to the unwell.