London gets correction on its growth, rest of the UK sligtly benefits by getting industries back which can no longer be served from within EU. Which will lead to slowdown or reversal of inequality growth.
"In particular, Northern Ireland (the UK’s poorest region), the North East (England’s poorest region) and the South West (Southern England’s poorest region) appear to be the most dependent on the ability of the UK to trade in goods with relatively few restrictions with other EU countries." [1]
[1] "UK regions, the European Union and manufacturing exports" http://speri.dept.shef.ac.uk/wp-content/uploads/2016/05/Brie...
Though, it's hard to justify how Northern Ireland happen to become the UK’s poorest region, given how Ireland is more prosperous than the UK by the numbers.
The whole situation is hilarous IMO.