Dairy meaning : (also dairy products or dairy produce) Products produced from milk. A place, often on a farm, where milk is processed and turned into products such as butter and cheese. A dairy farm. A shop selling dairy products. A corner store, superette or minimart. (chiefly in the plural) A woman's breast. Referring to products produced from milk. Referring to the milk production and processing industries. On food labelling, containing fats only from dairy sources (e.g. dairy ice cream).