Pretty good mechanics that fit the jam theme well!
However, I find the movement and jumping physics to be slippery and a little floaty which can make jumps uncomfortable.
There's also collision bugs, especially with the trails which cause me to get stuck at the respawn and unable to move, forcing me to restart the level. This bug has made level 7 unbeatable and levels 6 and 8 painful to beat.
The aesthetics are reasonable although a bit inconsistent and the music is pretty good, shame about the lack of sound effects though.
I like the mechanics where you control the respawn and create trails to use as platforms that depend on death to take advantage of, wouldn't mind seeing some more puzzle elements though.
With more polishing, bug fixes and some more content, Die Guy could be a pretty good puzzle platformer.