The term, "The Streisand Effect" refers to a situation where someone tries to suppress a piece of information, a photo, or some footage, but only causes it to spread further by doing this. After all, the greatest way to make people more curious about seeing something is to tell them that they can't.
According to the BBC, it was originally coined when Barbra Streisand sued a photographer for publishing a photo containing her house in it. Since this suit made international headlines, it only ensured that more people visited the photographer's site than otherwise would have.
As the full video shows, this effect seems to have claimed another victim in Fox News host Tucker Carlson.