Footage of a time traveler holding a mobile phone at an Elvis concert in 1977!

I was wrong thinking that it was a pair of glasses along with their case, but I could definitely see two distinct objects. Turns out the objects are attached to each other.

As others had said (including @pesco, @Amstrad and @Brandano), it is a pocket camera.

More specifically, it seems to be a Kodak Trimlite Instamatic 18 with an 8-flash Flip Flash II array (or a similar camera with a similar flash array).

Here’s a video showing the alleged time traveler from three different camera angles, in two playback speeds. Looking at all angles, you can clearly see the flash array attached to the pocket camera:

Mystery solved! (for real this time)