There’s a YouTuber named Memoria Matters who has an inside joke that she’s trying to popularize the idiom “too many dogs on the dance floor”. I’m pretty sure it doesn’t have any particular meaning, however. It came up quite a few times during her Alien: Isolation let’s play, however.
No, see, you rename the new hire “Cat Conner” and give the mice hunting job to him to free up Conner for more important work he’ll do in his new job now that he’s promoted.