Depends on whether or not you can selectively preserve memory. If could be useful if it acted sort of like amnesia where you retain things like muscle memory and factual memory, but not personal memory. Though I wouldn't necessarily look forward to the prospect of losing my life experiences.

Makes you wonder if immortality without memory is even immortality at all.

Write stuff down! BAM, problem solved. (Seriously speaking, consider the sci-fi short story possibilities of an individual who had to reboot every 80 years or so, but who had had access to a computer and competent legal/investment advice for roughly the same timescale as the present-day Catholic Church has been in operation. Age 0 through 24 is essentially one long data dump, but he's gotten pretty good at constructing his curricula, given a few millenia to practice it. They call him Jerome the Eldest, he is richer than most nations, and he lives life depressed and alone, until one day...)

I wonder if this kind of immortality would be that great. Most of my motivations to do things now come from the time limit factor. If I were immortal with unlimited memory, I think I'd just procrastinate and continue to postpone all the tasks I have to accomplish just because I can.