The phrase "monkey dog" has a few synonyms that can be used to refer to similar animals. One such term is "prairie dog," which describes a type of rodent that lives on the open plains of North America. Another potential synonym is "jackalope," a mythical creature from North American folklore that combines the features of a jackrabbit and an antelope. "Chihuahua," a breed of small canine with origins in Mexico, could also be considered a synonym for monkey dog due to its small size and quirky personality. Finally, the term "marmoset" could be used to describe a small South American primate with similar characteristics to a monkey dog.