It's important to note that "fama" in Spanish can have a slightly different meaning than "fame" in English. While "fama" refers to a person's reputation or public knowledge, it can also be used to describe a person's "name" or "identity."
So, in the context of "Fama a bailar", the phrase could also be interpreted as "Dance with your name/identity" or "Dance to make your name known."
To understand the exact meaning of "Fama a bailar," you'd need more context. What is the phrase being used for? Where did you see or hear it?