I have something to tell you: the process isn't that simple. The cells keep regenerating but they're not really regenerating per se, but making copies of themselves. And as a copy, they're not perfect, so at first there are just insignificant changes and flaws, but in time it becomes bigger and someday a cell won't be able to reproduce its own 'format' one more time. That's when you get too old.
Immortality would be achievable if one finds a way to allow cells to make infinite exact copies of themselves, and that isn't possible right now, so....and I'd like to be immortal, but with the choice of dying whenever I want to.