I can make this happen on X-box pretty consistent if I'm too fast reloading a save. I just press A to get rid of the humping sound lol

It's literally just holding diagonal on your analog stick. Your max speed will differ from controller to controller.

Also, you can also go to the options menu and under gameplay you can turn on "always run" and a crosshair.

I think everytime I've had this happen I ended up getting an even better time to submit.

I will say that I had the identical feeling when I started submitting times. Now that I've looked more closely at many of the levels, I'm not even sure I'd call some of the tricks glitches. E2M2 for example you are simply hitting the switch a floor above you.

There are several jumps and rocket jumps throughout Doom that skip big sections and I don't think you can call these tricks glitches either.

I guess we would have to define which tricks are glitches, but like Thief said, "It would literally be impossible to do a glitchless run in Doom, as things can happen that are considered a "glitch" or a "bug" and it be completely out of your control."

I found some tricks/glitches very easy and others very difficult so just try them out and use the ones that you can do. If you need help figuring out exactly what to do, just ask and I'm sure someone will try to help.

Cheers