Is there anything bothering you? seems like that dream could mean there's some kind of issue your having that you can't just 'shake off' or that there is some kind of stress that isn't getting resolved....at least that is what i would think if I had that dream since the cat biting symbolizes something you want to get rid of, but the harder you try the more it persists.

Do you notice if you have this dream more often when stressed for instance, or is it pretty random?

But yeah that is my idea, maybe others will have other ideas about it.