Cells also accumulate semi-waste -- molecules and protein fragments -- that are not properly processed by the various cleanup mechanisms. Recent research involving rat livers produced a so-called ageless organ that was able to overcome the decreased garbage collection problem, and return to a more youthful vibrancy in that regard. Of course, the organ would still have the telomere problem, but telomere aging is a long time compared to cell death due to mutation and garbage.
Sorry I can't find the link for you. Just google "rat liver aging" and you should find it.