It might be tough. If you go down to the South Coast, then you can to paleontological walks. I did one a few weeks back and found some ammonites and part of the jaw of an ichthyosaurus. You have to pay for them though.
It might be tough finding some work experience if your still at school, but its worth a try. I would see if there are any palentologists working near you (best place to start would be a local university). Send them an email explaining that you would love to do some work experience, and see what happens. You might be lucky!