Chosen Solution

I have an iPhone 5s that i got back in 2016 after I graduated high school. About a week or two ago, the glass started lifting and now the glass looks like it is half way from coming completely off. I looked at super gluing it back on, but the top two corners have components in them where the glue would need to go based on a google search. Are there any fixes that would work without prying the glass off? Update (04/28/2018) Here are some images for the phone incase it helps (forgot to add them).

buy a screen with a cold press frame as these are stronger then most cheap screens, then replace it by using this guide iPhone 5s Front Panel Assembly Replacement

If your screen is factory screen you could take to a mobile shop who does refurbish screen to install a new glass

Use superglue, squirt some out onto a piece of waste plastic, get a SMALL screw driver or sim eject pin and dip it into the glue then dab small dots of glue under the very outer edges of the glass where it’s comming away from the plastic frame, then press the glass down and hold for a minute or two until it’s set. Just be careful not to over apply the glue. No need to replace the screen.