5 thousand of years aren't nothing, but they aren't that much either, at least when it comes to the course of human evolution. We seem to be anatomically indistinguishable from people who lived not 5, but 50 thousand years ago.

There are obviously some newer adaptations (the ability to digest milk as adults in certain populations, or even sickle cell disease in West Africans), but they seem to be the exceptions to the rule.