The version I've heard on that is that you should not drink milk, tea, Coca cola or coffee with red meat or other iron rich food if you have poor iron status or a diet low in iron. This because calcium and polyphenols reduced iron absorption. I guess that it could be argued that you shouldn't combine them otherwise either since the body can not use the nutrients of the meat as well as otherwise, but it should not be directly harmful because of these reasons.
http://web.mit.edu/athletics/sportsmedicine/wcrminerals.html Under the headline "Iron (A trace mineral)"