I think I'd rather be an EU Citizen than a British Subject. Note the words 'Citizen' and 'Subject'.
Dual citizenship might also give you some protection against the UK government and the nuttier laws it attempts to inflict on us from time to time. I suspect an EU passport would be cheaper than a UK one too. And if the UK collapses economically, which seems quite likely the way things are going, it would be easier to jump ship and go live in Europe somewhere.
Finally, it would probably allow one to transfer some money into a Euro account in France or Germany if the UK Bankers give us a repeat performance of what they did in 2008. This too is distinctly possible, and will probably be even worse next time.
With that little option in mind, let's wait and see what happens after Sunday. The markets are pretty worried and a NO could lead to a virtual collapse of the Euro Zone.