Depends on your application. Case gauges are great for spot checking loaded rounds for conformity with SAAMI specs. In that application, consider ordering a slotted gauge from Sheridan Engineering - it's a cutaway case gauge so you can see the shoulder contour visually - very cool.
If you are shooting .223 from a bolt gun and plan to neck size only, then cause gauges are useless - consider a Hornady headspace measuring kit instead that clip on to your calipers and measure to a fixed datum point on the case neck, then bump the case back but 2-3 thou.
Sorry - missed the reference to the AR from the original post. Full length resizing and a Wilson case gauge for length checking after resizing before bullet seating plus final QC of loaded rounds is the way I would suggest.
Hope this helps.