In the Shulchan Aruch Yoreh Deah 89, the rule is brought that after eating meat one may not eat cheese for 6 hours (other opinions are cited too, about how long to wait).
As far as I am aware, the practice is that this applies to drinking milk too.
What is the source for this? Perhaps the Halacha is a restriction on eating only, which involves chewing, but drinking is permitted?