The cops in the Rodney case were clearly subjected to double jeopardy, unless you honestly believe the writers of the Constitution intended for every offense to be defined several ways.
If you believe in the multiple definition theory, the Constitution is solid as a rock, and you are a grand supporter of the Constitution as George Bush Senior was.
If you believe the intent was not for multiple definitions, giving the concept of double jeopardy meaning, you can only hold those like Bush Senior in contempt, because their actions proved they had no respect for the Constitution.
The double jeopardy clause in the 5th amendment literally has to do with the actual punishment for convicted felons--"nor shall any person be subject for the same offence to be twice put in jeopardy of life or limb..."
That meant if the rope broke in the course of a hanging, and the person being hanged was still alive, they couldn't get another rope and try again.