The phrase "do a mischief" refers to intentionally causing trouble or harm to someone or something. Synonyms for this phrase include "cause havoc," "create chaos," "make trouble," "wreak havoc," and "stir up trouble." Other synonyms may include "disturb the peace," "raise hell," "act mischievously," or "cause mischief." When using synonyms to describe mischievous behavior, it is important to consider the tone and connotation of the word. While some words may sound playful or harmless, others may carry a more severe tone and imply intentional harm or wrongdoing.