I don't remember the specifics on this dream, but it was exactly how it sounded. John Cleese and John Cleese were performing a detective skit with a good cop/bad cop twist. Good John Cleese was the law-abiding cop, everything must be done by the book, no searches without warrants, etc. Bad John Cleese was the exact opposite: he took great pride in sneaking around places where he wasn't supposed to and accusing everyone of everything. When they argued, it was quite amusing.
Well, the only thing that I really remember about the dream is that when they got into a jam, they did a 2-person somersault to get out of the jam.