Of course though, the atomic constituents - proton, electron, neutron, etc. - are as old as the universe itself.
Still a perplexing problem nonetheless.
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You specified, "material" -- not "matter".
AFAIK, we (as yet) have no way of determining the age of fundamental particles of matter ( or, if they even do change detectably with time).
Again, AFAIK, it is only "agglomerated materials" we can "age" -- often by determining the residual half-life of unstable isotopes that were captured when they were agglomerated...
BTW, I like -- and enjoyed -- your question; it stimulates several interesting avenues of thought...