To find out, become aware of, more fully understand, and/or no longer be deceived (by something or someone). I've been taking small supplies from the office for a long time, but I think the boss is getting wise. People are finally starting to get wise to the need for environmental protection.

To become fully aware or cognizant of someone or something, especially if he, she, or it is suspicious, illegal, or malicious in nature or intention. We'd better watch our step—I think the police are getting wise to us! I hope my brother doesn't get wise to my scheme to take over the company.