There is the Primary Selection and the Clipboard Selection. Print screen usually goes to the Clipboard Selection, but that depends on your desktop environment (KDE, GNOME, et al) or window manager. My window manager of choice, i3, didn't have any action for print screen out of the box. I bound print screen to a scrot command that then opens in GIMP.
You can read more here: https://www.jwz.org/doc/x-cut-and-paste.html
I personally use a clipboard manager, parcellite, and use it to synchronize the primary secection and clipboard, that lets me paste between x11 and console application. That feature aside, the tracking of history is great, and I'm not sure how I was productive before I had a tool like this.