QUOTE (KENNYOHIOHUNTER @ September 15th 2009 2:59 PM)

Are you talking about those rubber bushing type "O" rings that slide down the barrel? I have read about those before but never seen or used one before.
Yes, like this. Basically what happens is the barrel whips as it vibrates from the explosion of the cartridge firing. The wider the ellipse described by the muzzle during this vibration, the greater the chance that a bullet will leave the barrel when the muzzle is in a different position than it was when the previous bullet left it.
Preloading the tip of the stock as was done with the cards can dampen the vibration and increase accuracy, but sometimes at the cost of accuracy in another way. As the stock expands and contracts with heat (this happens with composite stocks, too), or yaws or swells as well if it is wood, it can change the harmonics or move the barrel to change point of impact. Additionally, shooting with a sling may cause the rifle to hit in a different spot than resting on the forend does, since the barrel is no longer floated and pressure on the forend could be transfered to the barrel.
That does not mean that preloading is wrong for your rifle - what works well with one may not so well with another.
The deresonator or damper serves a similar purpose in dampening barrel vibration, but leaves the barrel floated. Some dampers are just weights threaded to the end of the barrel. The limbsaver one can be moved forward or backward to find an optimal position. Again, it works well on many barrels, but may make no difference at best on others.