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Generally liners can work quite well for .22 Rimfire rifles and for cartridges designed for lower chamber pressures. This includes many of the older "black powder" calibres. Machine Guns as mentioned, can have Stellite liners in their barrels because of the rapid firing building up the heat. However, machine gun barrels are also heavier than ordinary sporting rifle barrels, so there is enough barrel diameter to do this.
In the 1920 Savage rifle mentioned, there is probably not enough diameter at the chamber area to do this with the liners previously mentioned. It would be possible to bore out the barrel to .300 Savage, a calibre that Savage made the 1920 Model in, or have a new barrel put on the rifle. Another possibility, if you reload, is to have the barrel bored out to .270 Savage, a Wildcat cartridge that was designed just for this purpose. It uses the 250-3000 case, but with slightly larger bullets. It would make your rifle useful again. It also depends upon which 1920 Model you have, the plain Jane standard model, or the checkered deluxe model. If the latter, it may be more desireable as a collectors item.
For the OP, more information is needed. What type of rifle is it, (make and model) and more important, what calibre is it now? Your question is valid, but simply does not include enough information to give an answer on. Do you want to keep the present barrel markings, or if it is a more common model, would you want to rebore it so that you can shoot it?
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