Kurt Vonnegut's caution against the use of semicolons is one of the most famous and canonical pieces of writing advice, an admonition that has become, so to speak, one of The Rules. More on these rules later, but first the infamous quote in question: "Here is a lesson in creative writing. First rule: Do not use semicolons. They are transvestite hermaphrodites representing absolutely nothing. All they do is show you've been to college."
To begin with the lowest-hanging fruit here-fruit that is actually scattered rotting on the ground-the "transvestite hermaphrodite" bit has not aged well. The quote also, it seems, may have been taken out of context, as it is followed by several more sentences of puzzlingly offensive facetiousness, discussed here.