Definitely a nice game, especially if it's a game Jam product.
I don't think it's intended, but you can actually finish the game without killing anyone, which is a fun thing to allow in this type of game.
I suspect it's even possible to do it without breaking turrets
I liked the not-too-in-depth story. I think it speaks for itself pretty well.
not sure if people are busting the door open or if the whole place is exploding at the end though.
Controling your moves mid-air, especially during wall jump is kinda hard (actually i couldn't pull the wall grabbing mechanic in an easy and consistent manner, probably because of the required press on UP)
I don't really know of there is a fixed pattern in the attack rythm of ennemies, i really liked their IA even if basic (they can stop when they see you, waiting for you to come) but i sometimes felt shooting ennemies were shooting instantly when jumping right in front of them and i had no time to react.
against hordes of ennemies i could either mash the jump and get out without a scratch, or get kicked to death in an instant. this lead to strategies where i might just go full retard die and retry until i get no damage.
Lastly I didn't understand that the white squares were your health, it took me a few deaths to realize it, it could be clearer.
Hope the critics help you improve in any possible way, should it be this game or another
Really cool, and keep up the great work