I managed to beat your game. It was a nice experience and I think you did a pretty good job putting a game together. I like the story and aesthetic of the game (one of the few to have nice cutscenes), and I liked the two factor element of having both the 60 second timer, and the 60 seconds of rewind available. There's a lot to like about this game, and it feels like anything that is not quite on the mark would be easily shifted with another weekend, so good job!
The time rewind has two purposes - combat, and puzzles, and gives you a 'replay' of your character right up until you started the rewind. I felt a little bit clumsy using it to my benefit, though. Maybe it could benefit from having some shortcuts for the player - if you consider your rewind clock your resource, perhaps having other ways to use it would help, such as easily leaving a clone in place, or firing multiple shots at once, without actually performing those tasks themselves in exchange for a 3s/5s 'chunk'.
As we saw on the gong show, though, the main barrier to enjoyment is the firm 'back to the start' if you touch an enemy. While frustrating in of itself, it also compounds on any other issues a player has (eg while getting comfortable with controls). There are a lot of possible solutions, I'd advise you aim to be cognisant of the player's experience and what that worst case scenario for them is, as well as thinking about how what probably now seems like an obvious problem people will have was able to sneak through your own & any external playtesting. Given all of this, you combined a lot of elements to make a really solid and (mostly) enjoyable submission, so, well done guys!