Some good news - in the run up to Brexit the jobless total in the UK fell by 52,000. Unfortunately this figure only goes up to June 2016, so it doesn't cover the period immediately after the Brexit vote. But, and it's a big but, the ONS has publish the number of claimants for July and this is also down by 8,600 to 763,600.
Although this is very early days, these figures are encouraging. As a quote from the BBC News article below, says -
Howard Archer of IHS Global Insight said that the UK economy showed "impressive resilience in the run-up to the EU referendum and the immediate aftermath of the vote to leave".
Figures crossed that this resilience continues!
Source - BBC News: UK jobless total falls to 1.64 million