TV tropes? Is that a webcomic site? Did they ask for permission or did they just do it?
oh, no! TVTropes is a website that attempts to catalogue tropes--essentially the recurring building blocks of stories. It mostly focuses on officially published works, but if a fanwork gets popular enough it may get a page made for it. It's like wikipedia in that it relies on user edits to document both tropes and their occurrences across different media, so how accurate it actually is depends heavily on editors' understandings of both the media they're cataloging and what the tropes it uses actually are.
Despite that, as a reader it can be a useful way to understand how tropes can be applied, when they work and when they don't, how they can be averted or subverted, and what tropes the stories in a given genre often have. It shouldn't be taken as some kind of checklist, or critique, of how stories should be told, and it's certainly not just a list of cliches (and a story having any trope, even common ones, doesn't make it cliche!)--rather, like i said, it's meant to simply document the elements of stories that humans tell each other time and time again.
it can be fun looking up your favorite media, and it's often a decent source for behind-the-scenes and word-of-god trivia; it can also be useful for finding other stories that use the same tropes you like. just remember that it may not be 100% objective, and you'll have a good time ^^