In the US, looks like it went over like a turd in a punch bowl at a church social...Only one rifle was ever produced by Winchester that would shoot the round
From Wikipedia,
307 Winchester
Type Rifle
Place of origin United States
Production history
Designed 1982
Manufacturer Winchester
Produced 1982
Specifications
Case type Rimless, bottleneck
Bullet diameter .308 in (7.8 mm)
Ballistic performance
Bullet weight/type Velocity Energy
180 gr (12 g) Super-X Power-Point 2,510 ft/s (770 m/s) 2,519 ft·lbf (3,415 J)
The 307 Winchester cartridge was introduced by Winchester in 1982 to meet the demand of .300 Savage performance in a lever-action rifle equipped with a tubular magazine. It is basically a rimmed version of the .308 Winchester cartridge with thicker case walls.
The Winchester Model 94 Angle Eject rifle was the only rifle produced to fire the cartridge, though Marlin created some prototype model 336 rifles chambered in .307 Win. It is still loaded today, but many handload to gain better performance and accuracy. Because of the tubular magazine, it is normally used with flat-nosed bullets only.
The .307 Winchester cartridge sees widespread use today especially between sporting shooters in Spain, whose gun laws consider the .308 Winchester as equivalent to the 7.62x51mm NATO and thus ban it from civilian availability as a "military caliber".