Yeah, you can go to the online config tool for flash and play around with the options and hope.
Or you can use the config file (PDF file; what did you expect from Adobe?).
Try this for starters. It will stop anyone from dumping stuff on your computer to recognize you:
LocalStorageLimit = 1 AssetCacheSize = 0 ThirdPartyStorage = 0 AssetCacheSize = 0 AutoUpdateInterval = 1 LegacyDomainMatching = 0 LocalFileLegacyAction = 0
Kudos go to: Adobe Flash, The Spy in Your Computer – Part 2