Chloe does the same thing, only I blame most of it on that kitten. Pheobe will NOT leave Chloe alone and consistantly pounces on and attacks Chloe. Then Chloe chases Pheobe around the house, trying to tackle her. I can finally get Chloe to leave Pheobe alone, then Pheobe attacks Chloe and it starts all over again....Considering Pheobe is four pounds and Chloe is forty, that isn't such a good thing.
We just keep the two of them seperate. When Pheobe is running around the house, Chloe is outside in her kennel. When Chloe is running around the house, Pheobe is either in one of our bedrooms or in our laundry room with her food, water, litterbox, and toys.
We would just keep Pheobe upstairs, but our other cat, Rush, rules the roost upstairs to stay away from both the puppy and the kitten. lol