The phrase "topsy-turvy" implies a sense of chaos and disorder, where things are flipped upside down or turned on their heads. Synonyms for this phrase include "upside down," "overturned," "disarranged," "disheveled," "jumbled," and "chaotic." Other options include "confused," "disorganized," "messy," and "cluttered." These terms are often used to describe situations where things are not as they should be, or when things are in a state of disarray. In some cases, these synonyms may also suggest a sense of unpredictability or lack of control, where anything can happen at any moment.