They reckon that they did a few years ago at the Tower of London. The bones were those of two kids of the right approximate ages (although it wasn't possible to check the sex of them) along with some bones that later turned out to be chicken bones (maybe the laddies had a KFC for their last meal?).
I believe they were disinterred and subsequently re-buried somewhere more fitting.
Dick the Shit did get some pretty bad press from Shakespeare etc, and his portrayal as a hunchback was often thought of as a fabrication, however the skeleton found in Leicester seems to bear out the theory (although anyone could have laid out his vertibrae in a curve). Maybe now that they have a sample of his DNA they can compare it with the bones found in the tower (although I believe there is some requirement for the crown to allow it first).