According to the DVLA website, they'll want to check the car over first, and issue it with an age related plate if they're satisfied. On the other hand, if you have the registration number, you can just apply for a new document for £25.
As it won't have the original chassis, engine, or gearbox, that's not an option I'm confident in. I'm thinking new Lotus chassis and a non original engine - possibly Clio 16v