I recently put the cb on the centerstand. It slightly and I mean very slightly leans toward the side because the concrete ground is ever so slightly sinks toward the center of the garage.
Should I be concerned about the bike falling over and how secure is the centerstand vs sidestand?
I understand your concern. This is my 3rd bike with a center stand. The other two seemed ready to topple with a wrong bump. This Honda seems pretty solid to me. Maybe put it on the stand, get on it and wobble it side to side to see what it takes. I always leave it on the side stand other than to check oil, chain, etc.
It does look extra purdy on the center stand though.
Generally speaking I feel the centerstand is more stable than the side stand. Depends on the base you are putting it on. Some places a centerstand can't be used, facing uphill or a slope, for instance. Horses for courses, as they say.
Cheers
As mentioned the center stand is very solid. A level surface is the most important aspect to consider when parking it. In this case your concern is valid. Either change the angle or use the side stand, you will sleep better.

The CB has an excellent side and center stand, both very secure and stable. In the garage mine stays on the center stand. Makes for a quick check of oil level, chain tension and tire pressure before a ride. Unless the lean is very pronounced I wouldn't worry about it.
You could place a thin wood board under the downside foot of the stand to make the bike level.
If you can't push the bike over its not going anywhere, i would recommend when taking it off the stand to do so on the lower side to avoid it getting away from you.
Here in California the sidestand is better for parking your bike. Why ? Earthquakes...
Two wheels and a sidestand make a tripod, just make sure your bike is in gear so it can't roll off the sidestand when the ground starts moving.
But for working on the bike, the centerstand rules. Just remember that it could roll off the stand if pushed hard from the rear. That's why it's a good idea to tie the centerstand cross brace to the frame, or front wheel, preventing it from rolling forward if you're working on the rear end of the bike.
Kawasaki's 1300 used to have a locking centerstand for theft prevention, IIRC.
Never had a bike fall over when using the center stand, even when parked facing uphill. I have had the center stand sink into asphalt, thus bringing the rear tire to touch ground, but it never fell. I never had a bike fall using a side stand, however, almost because the stand disappeared into the asphalt.

(yes, I was surprised too)
As Kai Ju indicated in an explicit example, examine your environment and make a common sense judgement. If it doesn't feel right, be conservative and sometimes that means just using the side stand - and gearbox engaged to be extra anal.
(02-09-2019, 07:31 AM)GoldOxide_imp Wrote: [ -> ]Never had a bike fall over when using the center stand, even when parked facing uphill. I have had the center stand sink into asphalt, thus bringing the rear tire to touch ground, but it never fell. I never had a bike fall using a side stand, however, almost because the stand disappeared into the asphalt.
(yes, I was surprised too)
As Kai Ju indicated in an explicit example, examine your environment and make a common sense judgement. If it doesn't feel right, be conservative and sometimes that means just using the side stand - and gearbox engaged to be extra anal.
Gearbox engaged. Always when I use my sidestand, which is rarely.
(11-03-2014, 11:50 PM)CIP57_imp Wrote: [ -> ]If you can't push the bike over its not going anywhere, i would recommend when taking it off the stand to do so on the lower side to avoid it getting away from you.
Since back in the day with my CB750 Four, I have always taken the bike off the center stand by sitting on the bike, hands on the handle bar grips, with feet out to the sides ( in case of lean over ), and using my body weight to rock it forward off the center stand. Using the front brake as the bike rolls off the center stand to limit forward roll. It is easy to do that way, unless the owner short legs, and/or doesnt have enough body weight. I have always found the center stand to be very stable, never had a tip over using it, but have had it sink into hot asphalt as other have pointed out.