Other Than Screws...
It isn't too hard to set up base(s) and rings, make sure the tube is aligned, and that screw tension is OK, Loctite used, etc. -BUT, in my experience, the one thing a lot of LGS guys don't do is a good job of making sure the crosshairs are aligned to true vertical and horizontal with respect to the gun. I just went through correcting that problem on a couple of my (inherited) rifles that had been "scoped" by different LGS's.
I use a gun vise set up on a flat surface with ample space on both sides. I then balance a 16" steel rule (from a combination square) centered on the elevation screw cover on top of the scope, at right angles to the bore. I use a second combination square and measure the table-to-steel rule height at each end of the balanced rule. The scope then gets rotated until the end height is equal on both sides.
As long as the gun vise is holding the rifle axis at true vertical, this gives a very precise crosshair alignment. Most LGS guys I've seen, just do this alignment "by eye"...and it DOES make a difference!