The investigation has been going on for months, and we're still 'none the wiser' about the true cause of the accident. [=we still don't know anything more about the true cause]
I'm 'wise to' you. = I'm 'wise to' what you're doing. [=I know what you're doing; I know that you are trying to do something dishonest]
I borrowed his car and returned it, and he was 'none the wiser'. [=he did not know that I had borrowed his car]
(..) N... No, Your Grace, I don't want it. And I don't want to be king. I don't deserve it. I thought I was wise, but I wasn't. I thought I knew what was right, but I didn't. Choose Ser Davos. Choose anyone else. (..)2019 TvShow: Game of Thrones Title: The Iron Throne Season: 8 Episode 6