The Cleveland Show Wiki

Cutaway Gags are commonly used in The Cleveland Show and normally do not have anything to do with the storyline, like Family Guy, They are used after a sentence or conversation, usually starting with "This is even worse/better than the time....". It is implied that these gags are simply stories made up by the people that set up the gag, and that the incidents shown did not really happen. This is particularly obvious when it comes to parodies of movies and television shows, or incidents that show a character dying.

Unlike Family Guy, there are significantly fewer gags in each episode, usually only 3-4 as opposed to 8 or more on average.[1]