.308, especially surplus Lake City brass, is hard and resists resizing. I use Imperial Sizing Die Wax applying a light coat to the case body making sure none gets on the case shoulder. I spin the case mouth edge with any residual lube left on my fingers after coating the case body.
Spray lubes work OK for .223 and great on pistol cases, but .30 caliber rifle brass resizes easier when using something more substantial. I have never stuck a case in over thirty years of reloading thousands of rounds. I have come close on several occasions. If you feel abnormal resistance STOP! Forcing the issue will insure a problem.
Make sure you don't mix commercial brass with your G.I. surplus brass, the G.I. brass requires a two (2.0) full grain reduction in powder charges because it has reduced internal capacity. Whenever in doubt weigh your resized, trimmed and unprimed brass. Surplus brass weighs almost 180 grains, commercial brass is usually under 165 grains.
I resize all of my rifle brass on a single stage press prior to running it through my Dillon. This allows me greater control of headspace and it would have had to be run through the Dillon two times anyway because it needs to be trimmed after being resized. It's easier to resize on the single stage, trim, chamfer, deburr then tumble in corn cob to remove the lube. Then it's ready for the Dillon.