A human body is not a cellphone. It is not a understood technology.
That's why research is good.
In fact we know that cell reproduction in a human body is limited to a certain number of cell divisions before this cannot be done again. Therefore, all these tricks will not work in the end.
There is already a cure for the Hayflick limit (that thing you are describing poorly) in Humans, it's called TA-65 and has been around for years. Currently it costs about $600/month per person but the cost will plummet in 2024 when the patent expires. Given the extraordinarily wide-scale potential application and the absurdly cheap cost of production (it is a highly refined root extract) it will likely be around the cost of vitamin supplements.
This isn't to say there aren't other issues to overcome but 3 of the 7 issues in aging already have cures (TA-65 corresponding to the first one on the Wikipedia list.)
But this story perfectly suits Thiel as he thinks in himself as a better or the best human and all other are lesser subjects.
Aside from the fact the story is written by Gawker (they despise Thiel because after years of targeting their political adversaries with smear campaigns they targeted him, then he backed Hulk Hogan's legal campaign against Gawker and Gawker is in the process of going bankrupt as a result,) they don't even comprehend what is being studied - not entirely unexpected from a political propaganda machine organized by haughty idiots lacking a grasp of even basic scientific methods.
What Thiel is studying is the ability to delay aging by cloning youthful cell lines after splicing in DNA from the target recipient to get around some of the SENS issues linked above which things like TA-65 don't handle (intracellular junk, etc.) This is a method which has been proven in every animal trial it has been attempted in and is based on solid scientific foundations.
TL;DR: The people at Gawker are among the slimiest of Human beings in existence who would gladly sacrifice progress for their own egos, political and financial gain. Taking them seriously is a very dumb thing to do.