I recently was privileged to take a defensive hunting rifle course with a great instructor. I view my Winchester 94 in an entirely new light!
We used simple elastic butt stock shell holders as ammo sleeves and practiced "combat reloads" while moving and shooting. I found that having a sleeve on my right arm allowed me to drop 3 rounds in the tube magazine and one in the breach very quickly.
This is exactly the sleeve I used. Allen Company Elastic Buttstock Rifle Cartridge Holder - Walmart.com
I am going to add a few more to my collection..having a couple "pre-loaded" in a dump pouch will keep you running for quite a while.
We started out at 150 yards,empty rifle. 1 combat load,shoot 3 rounds move in to 100 yards,shoot prone load 3 rounds (while moving in) to 75 yards,kneel-3 rounds...you get the idea. transition to pistol at 15 yards. This over rough terrain while loading and running. It was a blast!