Got a Playstation Classic (PS1) and Games list shows two icons for it, is it safe to delete one?

Solution 1:

Yes, it is safe to delete the one that "installs" the game, it says "uninstall" because the installer itself is an application that runs and installs the game in your PS3.

Solution 2:

The one that installs the game exists only to copy the game to your PSP or PS Vita. It can be safely deleted once you have done so or if you do not plan to do so. It's just a weird side effect of how they handle installers, since the "real" PS1 game on PS3 doesn't let you copy it direct to PSP.