That looks more like .030 than .062 but the angle the pic was taken can be deceiving ... From the picture I'd consider that a bit low and shoot for at least twice the shown clearance... Good luck.. Looks like a nice rig!
Maybe not with the Butler Creek covers which slip over the objective or eyepiece ends. With something like the Leupolds which are threaded you'd likely need to put the objective cover on before you mount the scope. I like mine so that I can screw in the objective lens cover with the scope mounted. Usually with a combination of 40, 42 or 44 mm objective bells and low or medium rings it's easy enough to do. I prefer too much clearance rather than too little. The eyepiece cover can be installed after the scope is mounted and focused. FWIW flip lever type eyepiece covers are pretty much set up for right handed shooters.It is not too low for barrel scope interference, but would be if you use scope covers.
I got the following response from my contact at Leupold.That's way too close for comfort IMO. And the scope cover issue is something to remedy too.
I'd be interested to know what the scope manufacturer (or any scope manufacturer) would say if you presented them with that photo and your question.
I got the following response from my contact at Leupold.
"Unfortunately, I am unable to determine how big the gap is in your photograph to determine if it is the correct amount. As long as you can fit two business cards stacked on top of each other between the barrel and the bell of the riflescope you will be fine. You need that big of a gap to allow the proper distance for the movement of the barrel under recoil."
I think the OP is probably OK, unless he is shooting a .458 Win mag.
Unfortunately I can say you are probably too close.in my experience I have a rub mark on two scopes that I set very close. I guess the vibration when firing ? it really didn't hurt anything except my feelings and every time I remove the scope I am reminded of it!How close is to close to the barrel? I mounted a scope and it a 1/16 from the bottom of the scope to the barrel.View attachment 372537