I endorse what Beemanbeme says, and would like to add to it, regarding what I've come to know as "wobble zone".
I first learned of this while being taught how to shoot handguns off-hand. I learned that there are very few, if any people who can hold a handgun perfectly still. Therefore, we learn to adapt and work with a wobble. We can reduce wobble by adjusting grip and controlling our breathing. The shooter should watch how the handgun moves across the point of aim on the target and "plan" the shots accordingly by using smooth trigger pull techniques so that the shot goes off as the handgun returns to the aim point.
I employ similar techniques with the rifle. As Beemanbeme says, with lighter recoiling rifles we should only touch the weapon as much as necessary. With heavier recoiling rifles we need a much firmer grip. When I get down on the rifle and finally set my position I take a couple breaths and watch how much the crosshairs move off the point of aim. After I've identified this movement, I time my shot so that as I'm coming back to zero, I've already begun my trigger pull and fire as the crosshairs return to the point of aim. There are other factors involved as well such as how much grip is employed and trigger squeeze.
For those who have the opportunity to hunt varmints, this is a good way to employ these techiques in the field. I use ground hog hunting as practice. There usually is no hurry to take the shot with ground hogs, so the opportunity is there to practice.
Thanks.
EVOC ONE