The mice they use to test new drugs on have artificially extended telomeres. This allows them to tolerate drugs much better than natural mice and gives better test results for the pharma companies. These genetically modified mice don't live forever. They all die of cancer. As far as I know they don't even have significantly longer lives.
Outside of the this sort of testing, which obviously would have an impact on longevity, length of remaining telomere chain seems to have some predictive ability as to how long organism will live. Not my field so predictive ability might vary from species to species.
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