Similar to a sweet tooth, but for meat.
Because of his beef tooth, Mike never order pineapple or eggplant toppings, but instead always ordered sausage or pepperoni pizza.
Beef tooth (can also be pronounced beef toof) is a way of describing an extreme craving for beef.
Ah man I got terrid* beef tooth
*See terrid in the urban dictionary
I got some serious beef toof right about now