how long have cats been domesticated
Molecular Evidence for Cat Domestication. A recent study suggests that cats were domesticated at the same time as that of wheat and barley in the Fertile Crescent region, that is about 10,000 years ago. Time will tell--the only archaeological data supporting that is at Shillourokambos in Cyprus.
It's plausible that the ancient [domestic cat] lineages were present in the wildcat populations back as far as 70,000 or 100,000 years ago, said study co-author Stephen O'Brien of the National Cancer Institute in Frederick, Maryland.