The plebeians mistake Cinna the poet for Cinna the conspirator and decide to tear him to pieces before going after Caesar’s killers.
Explanation:
This is the best summary of what happens to Cinna the poet in the play. As the plebeians are looking for the conspirators, they happen to find Cinna. He is a poet, but there is also a conspirator that goes by the same name. The plebeians mistake him for the conspirator, and even after he explains the situation, he is killed.