If there was another referendum on Britain’s membership of the EU, how would you vote? – What UK Thinks: EU
At present, the chart shows 40% Remain, 32% Leave, 29% Don't Know/Undecided
The public is about as divided as Parliament, but Remain does seem to have had the edge since mid-2017.
https://whatukthinks.org/eu/questions/if-a-second-eu-referendum-were-held-today-how-would-you-vote/