The short and skinny of it is that the Bushnell scopes are all tested on a 375 H&H which is a pretty heafty gun recoil wise, so I doubt you'll have problems. If worse comes to worse, send it back if anything happens and they'll replace it for you.
I have a Bushnell Banner in a higher magnification (24x), and mine didnt last long on my 7.62x39 even when properly mounted. I'm not exactly the luckiest guy in the world when it comes to equipment failures. Scopes, as much as the companies say they arent, are delicate pieces of workmanship because they require so precise specifications. A properly mounted and tuned scope wont usually fall apart on you, but the Banner I had has a design flaw (or at least in my opinion its a design flaw), the turret caps screw directly onto the turret and if you tighten the caps down too much and take them off a lot you loosen the actual turret itself and this is what happened to me. I keep my caps very loose now and havent had much problems with the scope after I snugged everthing down.
I'm already surrounded by half-dead brainless people already, the zombie apocalypse would just give me a reason to be productive and get rid of them.