What does sometimes a pigeon and the statue mean?

The phrase "sometimes a pigeon and the statue" doesn't have a widely recognized meaning or idiom. It's possible you've misheard or misunderstood something.

To help me understand what you're asking, could you provide more context? For example:

* Where did you hear this phrase? Was it in a book, a movie, a song, or a conversation?

* What was the surrounding conversation or text? This might give me clues about the intended meaning.

* Do you have any other information about the phrase? For example, was it used in a humorous or serious way?

Once I have more context, I can help you figure out what "sometimes a pigeon and the statue" might mean.