Topsy-turvily is an adverb that means in a topsy-turvy or chaotic manner. If you want to convey a similar meaning without using this term, you can use a number of synonyms such as haphazardly, randomly, disorganized, messily, sloppily, clumsily, chaotically, or in a disorderly fashion. "Helter-skelter," "upside down," "back-to-front," and "inside-out" also connote the sense of topsy-turviness. These synonyms are useful when you want to describe a situation where things are not in order and appear to be jumbled or scattered. You can use them in various contexts, such as describing a messy room, a cluttered desk, or a chaotic event.