While not particularly common or cheap, 8x56R ammo is out there as it is currently loaded by Prvi Partizan and Hornady. As for being clip-fed, the Steyr M95 uses Mannlicher clips similar to those used on the Carcano, Berthier, and Mauser Gew. 88 Commission rifles. Rather that the cartridges being stripped out of the clip and into the magazine in the more conventional fashion, a Mannlicher clip is inserted along with the ammunition as a unit into the rifle not unlike the En Bloc clips used in the M1 Garand. Unlike the Garand, however, the clip simply falls out of a hole in the bottom of the magazine when the last round is chambered rather than being ejected out the top of the action after the last round is fired.
Without the clips, most rifles using the Mannlicher clip system are essentially single-shots as the magazine has no way to retain the cartridges without the clips. This is because the magazine itself has no feed lips as that function is accomplished by the clips. The good news is that Mannlicher clips, like stripper clips and En Bloc clips are reuseable and can be used dozens, if not hundreds of times before problems are encountered. The most common problems with Mannlicher clips is that they get bent to the point that they no longer hold the cartridges tightly, but they can usually be bent back into serviceability quite easily.