Yes, cow's tongue is halal to eat according to Islamic dietary laws. As long as the cow has been slaughtered according to Islamic ritual, known as dhabihah, all parts of the animal, including the tongue, are considered halal.
The Islamic guidelines for halal meat require that the animal is slaughtered by a Muslim who has recited the Islamic prayer, and the animal's blood is drained completely. The animal must also be healthy and free from any disease or contamination.
There are multiple online sources, including websites for halal butchers and online meat delivery services, that explicitly sell and promote halal beef tongue as a food item. These sources confirm that the tongue is considered halal and can be enjoyed in various culinary preparations.