Acetone is a great degreaser, but being phenol based, is very likely to leave unwanted residues, if not a complete film, on your steel making a real mess of etching.
Lin is very correct in that your steel needs to be nearly surgically clean prior to etching.
I use lacquer thinner as a cleaner, if I feel there's been any unwanted oily or greasy contact with anything in the shop.
But, following degreasing, the degreaser needs to be removed as well.
For that I take the blade to the kitchen sink with a soft bristle tooth brush and clean with a spray bottle filled with Simple Green and rinse well with cool water.
After that, I do NOTHING.
No wiping, no drying. Because then you risk contaminating the blade with whatever you use to wipe or dry!
Why dry?
You're just gonna stick it into a bath of fluid that's 75-80% water! Just leave it wet.
Now, that said, you didn't mention what the Damascus components were, or to what degree of finish you have taken the blade.
We need more info.