Yes, alcohol and a Magic Eraser do a pretty good job. Now, your common alcohol is 70% isopropyl, the other 30% is water. Even this amount of water will tend to raise the grain a little bit (or more, depending on the shaft). If so, be prepared to sand it down VERY lightly or at least burnish it with a piece of soft, raw leather (or brown paper towel, or a dollar bill).
I "think" isopropyl alcohol is also available in 90% (or higher) but I've not been able to find any (haven't looked outside the grocery store or drug store, either).
You can also use Methyl (Denatured) alcohol. Again it is available in both concentrations. I think it cleans a little better than isopropyl.
My 2 cents,
Gary