If you look at Woodhunter's pics, you see that his vise inserts all have a paper bushing for the barrel. Those work wonders for getting good grip on a barrel. If you have trouble with the barrel vise slipping, this is sometimes the answer. All my wrench inserts are made a few thousandths oversize so I can put a piece of card stock in there, both to protect the barrel but also to get better grip.
Once upon a time I got smart and used some high strength double sided tape between the bushing and the barrel.
Never did it again, had to dissolve the junk with MEK to get it off the barrel and bushings. Pressure really sets it up!
The cardboard in the bushings is manila file folder stock, works good, never had a barrel slip and a plus is bluing or bead blast finishes are not marred.
I also wrap the round receivers with the file folder cardboard.
Using the cardboard lets you use steel bushings without marring.
Some of the bushings are made from Nylon bushing stock, use them on the super shiny switch barrels that are not set up tight.
For mausers and enfield actions, I pad the receivers with copper strips to prevent marring by the action wrenches.
With some mausers you can crush the receiver ring a little with the action wrench and the bolt fit becomes tight. I prevent this by slipping a tight fitting arbor into the receiver prior to tightening the action wrench bolts.
Lube those threads prior to installing a new barrel, some fool 20 years from now may want to take the barel out of the receiver!