Only sort of, and only if you have a lot of other people willing to participate with you. If you are just looking to see how money is flowing, you just see the tumble cloud between your collections of interesting source and destination addresses, you are not foiled by it (in the worst case scenario you consider every output address interesting, but then you start paring that down with other information).<p>I wonder if some of the bitcoin gambling sites have really been operated by people trying to obscure the history of their bitcoin. If they can control how fast their coin moves through the site, they have some more assurance of how many addresses they are mixed with.