Well, I got stuck.
Saw blade just kept me respawning either inside the second pillar (where I couldn't move) or on the first one (where I'd have to wait for it to kill me so I could be on the other side...and end up inside the pillar again).
Game's alright, but pretty much on par for what I expected from the jam. The physics are a little floaty and I feel I got past the turret by sheer happenstance rather than any deliberate plan. Similarly I don't really feel that I need the time rewind powers all that much.