How timely. I did just that last night. First time I have ever actually had the guts to do it. I used a product called "Scope Dope."
First, I brushed off all surface dust with a scope pen. I then used the cleaning pad of the scope pen and cleaned the glass. After that, I took a new chamois cloth, dabbed a VERY small amount of the scope dope on the cloth and rubbed it onto the eye glass and objective. Then buffed it out with the chamois.
I haven't taken the rifle hunting yet. Tomorrow morning will be my first chance. We've got fresh snow, and a near full moon - watch out yotes.
So far, it does not seem to have diminished the quality. I must admit though, I had (and kinda still do) the same concers that optic zone stated.
The scope is a 1.5X5 Weaver Grand Slam. I will post my findings after tomorrow's hunt.