The term 'rodent rabbit like' can be summarized by the crossword solution of PIKA, which is a small mammal that is native to cold climates in the Northern Hemisphere. Pika are closely related to rabbits and hares, and are sometimes referred to as 'rock rabbits' due to their habitat of living among rocks. They have short limbs, rounded ears, and no external tail. Pika are herbivores, and feed on a variety of grasses, flowers, and other vegetation.