Permanent Style is open as usual and shipping to all parts of the world, save Russia and Ukraine. 
Brexit has only had one effect on EU customers, which is that they now pay their local VAT rate, rather than the UK rate of 20%.
This 'landed price' approach may involve some extra admin costs for PS, but will make the transition as smooth as possible.
The only other issue is possible delays in some EU countries, as they get used to new customs declarations.