After the maze section it's possible to make the jump accross the pillars skipping the elevator. I missed it in the run and found it very difficult to make but it does save a nice chunk of time if you can make it.

It might be possible to grab the blue key right away in the opening before it raises but I was just too slow. That would skip a decent chunk of the map.

There's also a glide you can do through some bars just before the red door which would maybe save a few seconds if you got it right away but I felt like that wasn't worth putting into the run.