There is a quick claim, but if you equipped gear or filled your inventory before accessing your corpse it will not work. It is recommended once you are close to your corpse to prep by dropping and unequiping everything.

Sneak and make a run for the corpse and when you access it everything will autoloot onto you and you'll be given a crazy speed boost.

Note: I haven't had to do this since H&H update. With the speed boost your stam use to regen like crazy it felt. Might not be the same now with the stam change.