as i was told when i was a young shooter by probably the best offhand shooter i have ever been around. you will always have movement in the scope but most of the time it will be consistant, say moving in a figure 8 or up left and down to the right, anticipate the movement and pull the trigger. he also told me, if the movement is not consistant to put the crosshairs above the animal then drop the crosshair slowly and pull the trigger where you want to hit. i have had good luck by doing this over the years. i once seen him shoot a chuck at over 100 yards off hand with a 222 and when he pulled the trigger he said right behind the ear, when i went over to pull him out of the hole it was right behind the ear.