Actually, there is a way to remove them. They are flat and tiny, near the watchbands' holes. To remove them, insert something (like a needle, or a toothpick) into the 4 carved out parts and their heads will pop out. Use a screwdriver or nail to gently peel it out. After that, hold the top and bottom (where the watchbands are), and pull the inner body up.
Once they have, you'll be able to view a graph of their reputation gained over time.
Here's a preview of what the graph will look like:
No reputation gained yet.