Nope. I suppose in some weird plot twist of B movie writing I might be the only person who could be given this form of immortality and sent back to save the world, but I'd consider it pretty much a suicide mission. My body would, by the conditions of the question, survive -- I doubt my sanity would, and whatever was "in there" after a few thousand years wouldn't be recognizable as bungee.
He looks recognizable enough if the reconstruction is at all close, but consider:
Source:
https://www.sciencedaily.com/release...0126134643.htm
That's just going back a few thousand years.
Assume that this is a "tell a good story" science fiction scenario -- that somehow I don't have to worry about my teeth wearing down or the effect of thousands of years of sun on my eyes. Let's even imagine that I somehow keep my sanity and manage to handle the problems of thousands of years of memory. In a million years, the people who went back with me will evolve, both physically and culturally. After a few thousand years, I just don't see myself picking up cute girls in the bars and in 100,000 it would probably be like having a chimp walk up to them and start trying to flirt. Dating aside, at some point their culture and bodies would diverge significantly from mine. I might be cared for like a well worn teddy bear, but I have no reason to think I'd be relevant.
I'm a few weeks short of 60 yet (if I don't let the Chinese calculate my age), but I've already seen enough changes across the years that immortality holds no interest for me.