I wonder what my T is doing outside of work sometimes. I also imagine what she's doing at work when I'm not there. My T has mentioned a few times when she saw or heard something that made her think of me outside of session, just little stuff triggered by things she knows I like. I also had some stressful, uncertain medical things a few months back, and she mentioned that she was thinking (maybe worrying slightly?) about me until I called and left her a voicemail telling her what the outcome was.

I think generally therapists should probably try to set aside each client when time is up, but I also think it's normal for thoughts to filter in occasionally. I don't think your T stops caring when you leave the office, and I bet you do cross your T's mind occasionally.