The Data Protection Act does not allow you to ask your current employer for a copy of any references they have provided on your behalf to a prospective employer. You can however ask your prospective employer for copies of references provided to it (as well as asking your current employer for copies of references previously supplied to it – i.e. just before you joined. Whether the prospective employer can be forced to release the references, depends on factors such whether they were expressed to be confidential, and whether they should reasonably be kept confidential.
24 Feb 2012: When do you start getting paid?
The Interns: Getting treated like a dogsbody?