eat com eyes is incorrectly written and it should be written as "eat with their eyes" being its meaning:
eat com eyes = eat with the Ojos del verb comerComer eyes is a popular expression that means eating one larger amount than that required for the starving, eating beyond the limit, overeating. It means that the person is linked to gluttony, i.e., is a glutton eating much. The expression is also used when the individual simply to carefully observe the food and for various reasons can not taste. It is also used when someone is enjoying and looking forward to an object or a person admired
