It's non-restricted.
Recoil is a product of powder charge, projectile weight and firearm weight. It will be somewhat more than in a normal sporter weight arm (say 22" or 24" barrel), but the difference won't be that bad in that particular rifle, especially in the 7-80.
I looked at buying one previously, but ended up with a Remington Mountain Rifle simply out of circumstance.
Muzzle blast does increase as barrel length decreases. My 18.5" Marlin Guide Gun barks significantly louder than my friend's long barreled Browning single shot.
If you specifically want a very compact rifle, give it a try. If not, a rifle with a more conventional barrel length in the 20-24" range will offer a little less muzzle blast.
FWIW there have been tests that show that in chamberings other than really overbore magnums, shorter barrel lengths only produce insignificant decreases in muzzle velocity.
Have fun!