The phrase "wised off" means to become knowledgeable about something or someone. Some synonyms for this phrase may include "informed," "enlightened," or "aware." Other related words might be "educated," "schooled," or "versed." Essentially, any term that implies a deeper understanding of a subject or person can be used as a synonym for "wised off." It can also refer to being savvy or street smart and understanding the nuances of a situation. Whatever word is used, the underlying meaning remains the same: to become wise to a situation or person by gaining knowledge or insight.