She has him 'wrapped around her little finger'. [=she controls him completely; he always does what she wants him to do]
I was (completely) 'wrapped up in' my work, so I didn't hear you come in.
The teacher quickly 'wrapped up' her lecture toward the end of class.
(..) - You think he's not guilty, huh? - I don't know. It's possible. Well, I don't know you, but I'm bettin' you've never been wronger in your life. You're wastin' your time. You ought to wrap it up. Supposing you were the one who was on trial? Well, I'm not used to supposin'. I'm just a workin' man. (..)1957 12 Angry Men