At the speed of light, a person wouldn't age. Those left behind would. Thus, any large increase e.g. 50% of light speed, would also affect your aging relative to others on earth. Thus they would seem to be aging more quickly while you would seem to be aging slower. Of course, this is because time moves at a different rate, and not because your longevity is increased.
This is not quite accurate.
Again, all motion is relative. It makes no sense to simply say you are moving at 50% of the speed of light. It *only* makes sense to say you are moving at 50% of the speed of light in some reference frame. But, if this happens, that reference frame is *also* moving at 50% of the speed of light in *your* reference frame. There is a symmetry.
So, if you are moving at 50% of the speed of light past the Earth (i.e, in the reference frame of the Earth), then the Earth is moving at 50% of the speed of light in *your* reference frame. So, to people on Earth, you look like you are moving slower because of time dilation. But, symmetrically, if you look at the people on Earth, *they* look to *you* like they are moving slower. Both sides see the same time dilation in the other.
So both sides see the other as aging slower.
This is the 'twin paradox': how can both sides consistently see the other as moving slower? What happens if you go at 99.99% of the speed of light (with respect to the Earth), turn around and come back home? Who has aged less and why?
Well, the answer is that whichever one feels the acceleration (change of velocity) will age less. Since you are the one that needs to turn around, the rockets firing will make *you* feel the acceleration while those on the Earth do NOT feel the same. So you will age less. But the difference is due to the acceleration and NOT the speed alone.