They'd probably be very confused if you told them.
For one thing: You still look like your "old" self from 5 years before.
Do you mean to say that as you travel back in time, you grow younger? So it's possible that you could be risking your life if you travel to far behind before you were conceived..
...and if you could do that - then how could you exist if you haven't been born yet?
How would you have been able to counteract the effects of Telomere damage?