My previous dog loved to chase our cat. He'd be lying on the couch, and` she would walk up to him and start poking him with her snout to try to get him to run. He would either stay put or slowly slink away.
My first dog would make this happy grunting noise when she saw someone she knew.
Back in my teenage years we had a cat and a dog, they weren't best friends but they got along just okay. Then my father's new girlfriend (later wife) started visiting with her 3 dogs, and the 3 would chase the cat around the house, and our old dog would chase the 3 to try help the cat