I'm very fond of eating rabbit!
It's not so much recoil as you would get with regular fire arms which is a push back but with a air rifle the spring that's used is more violent
From the ssaa web site.
Scopes for air rifles
Often regarded as little more than toys, air rifles nevertheless have some special requirements when it comes to scopes. Though underpowered by rimfire or centrefire standards, both spring piston and gas spring air rifles have a unique, two-stage recoil.
When the rifle is fired there is a backward recoil effect that is immediately followed by a snapping forward motion. Combined with the vibrations produced by powerful springs, this places enormous stress on both scope and mounts, even though the felt recoil is negligible.
Scopes designed for air rifles have their lenses and reticule braced front and rear to ensure recoil doesn’t shake them loose. Scopes designed for rimfire and centrefire rifles are generally only braced at the rear; just one reason why even good quality scopes will eventually be rattled to pieces when mounted on an air rifle.
On top of this, air rifles are generally sighted in for relatively short distances, perhaps as little as ten metres. Many scopes won’t focus that closely, especially fixed powers - one of the main reasons that the majority of air rifle scopes have adjustable objective lenses.
Linked to short-range use is the relatively high trajectory that air rifle pellets have between muzzle and target. This demands an elevation bias that gives more up than down adjustment and does away with the need to shim mounts to gain the elevation required to make the shots print to the designated point of aim.
Finally, air rifle scopes require air rifle mounts. Such mounts generally have recoil stops built in to prevent the mounts from shifting. And, though it should go without saying, scope rings must be properly tightened with a properly fitting wrench or screwdriver to ensure the scope can’t slide within the rings.
Air rifle scopes are produced by a number of companies including Beeman, Tasco, Lynx, Bushnell, Simmons and Leupold - and I’ve no doubt there are others. Ask your favourite dealer what catalogues he has available. Air rifle scopes range from simple fixed power models through to quite expensive variables such as the Beeman Bushnell 6-24X 40mm, which was obviously designed for silhouette and target work.