I can't see that happening though and all the rhetoric from the EU and EU nations has been "goodbye and thanks for all the fish".
I expect the government to drag its heels for a while before it invokes Article 50 while it sorts itself out but industry will be clamouring for clarity so it won't drag on indefinitely.
That's not going to happen - not because of the "gooodbye" rhetoric, but rather because freedom of movement has been embodied as one of the core principles of the EU. Free movement of goods and people are inseparable. This is even laid down in the bilateral agreements with Switzerland and Norway. The Swiss just tested the waters with the latest referendum on curbing EU-immigration but they haven't followed through. The EU has drawn a line in the sand here and I seriously don't expect them to concede this point.
Only when talking about people as goods, i.e. as human resources. When talking about people as humans, the borders inside EU are closed real quick when there's a G8 summit et.al. and politicians want to keep protestors from other countries out.
The flip side is that it's the main reason for the exit vote so I can't see how we could join EFTA, for example.