1. To exchange some set of things, moving each into the position of another: I swapped the screws around in the holes until I had them all in the right places. We bought several books from the bookstore and swapped them around between us.
2. To trade places: We each wanted to sit on the other side of the table, so we swapped around. I asked the man sitting in the window seat if he would swap around with me so I could see the ocean.