This is the most comprehensive collection of recent poll results that I know: https://en.wikipedia.org/wiki/Opinion_polling_for_the_United_Kingdom_European_Union_membership_referendum#Post-referendum_polling
Questions like "was Britain right or wrong to vote to leave?" are generally won by 'wrong' - 48% to 41% in the last one, and you can see that was a change, around the middle of 2017. "How you vote in a new referendum" is won by 'Remain' too; but the latest poll was 36% Remain, 35% Leave, and 29% Neither. With the uncertainties of polling (phone polls before the referendum tended to have Leave winning; online polls made it a toss-up), large numbers uncertain (or just pissed off with the whole process), and who knows what tactics from the Leavers, it's not certain.
One thing I can guarantee: a new referendum would not shut up the rabid Brexiteers. They would be screaming "you can't vote again to see if you get a different result - only the first result is valid". They still regard "the will of the people" as fixed by that 2016 referendum, and disregard the 2017 general election and all these opinion polls as meaningless, and, annoyingly, the media let them talk about "the people v. parliament" as if it's obvious "the people" demand to leave on Oct 31st. And Johnson bullshits about the Northern Ireland backstop as being "anti-democratic", when it's nothing of the sort, and the media doesn't challenge him on it. I fear that repetition will mean that gets taken as "common sense", rather than bollocks.