That looks like it could be epoxy. JB Weld maybe. I wouldn't doubt if the screw broke off like Ian says, and then someone tried epoxying the screw stub hoping it would stay.
If you have small drill bits, drill a hole in the center. Start about 2/3 or so of the diameter. If you get a hole, you can often take a small screwdriver or such and unscrew the epoxy or crack it in place and then it can be dug out much easier.
That hole goes through int othe mirror box so remember to open the screen adnd give a little dusting for the scraps that find their way in.