Probably not, but it's interesting to think about the implications here. If the new you is the same except for the memories and experiences, then what you become is a function of your environment, and if enough experiments are run on this over successive generations then an accurate and comprehensive model of your behavior and thinking could be obtained.

So I don't know if this has been done before but I have this idea for a fictional setting where there's people like this, who have made themselves this kind of immortal, and tried to set up automated systems to ensure they have some kind of continuity, raising themselves with robots, biometric access, keeping a journal and such. But then maybe the people excluded from these systems will have figured out over long periods of time that the immortals are predictable, since they are the same people repeated, and developed ritualistic cargo-cult-esque ways of interacting with them designed to produce the results they want, maybe even speaking words in a language they don't understand and just knowing that those particular words will be interpreted the right way because the person being spoken to has been a known quantity for centuries or millennia.