Other regulations affecting things like working hours or environment wouldn't necessarily be great for the UK to cut back on. These are designed to prevent beggar-thy-neighbour policies that turn into a race to the bottom in a zero sum game. It's better for everyone to agree to the same rules here, game theoretically.
And less freedom to hire people from the continent would just push up labour costs.
So personally I don't think there's any upside from Brexit here. That would have to come from somewhere entirely hypothetical, like significantly better trade deals than the EU currently has.