have not seen them as pets, but we have wild "mice" here that are very much liek Degus, though wild are faster.
I know people who have "domesticated" rodents, usually by breeding them and hand raising the babies.
the ones here have big black eyes, fairly furry tails with a slightly furrier tip. size is between a rat and a mouse. obviously disease is a consideration, and you would need to spend money at a vet who will likely think you have escaped the padded room, but if your really fixing: Formosa Degu