The term 'EAT LIKE A RODENT' can be summarized by the crossword solution 'GNAW', which is a 4-letter word. Gnawing is a behavior commonly associated with rodents, such as mice and rats, who use their sharp incisors to chew on food and other objects. This behavior is also seen in other animals, such as rabbits, beavers, and even some primates. Gnawing is an important part of the eating process for these animals, as it helps them break down tough materials and extract nutrients from their food.