I would advise careful and complete disassembly, with a good soak in a mild solution of dawn soap. Do not rub anything. Get it soaked up, and then, using only 100% soft cotton baby diapers, gently, very gently, give it a wipe down, frequently turning your cloth to a new area. Rinse with water. Get the shell clean, and dry with..... again, the cotton baby diapers. Repeat process for all the parts, except the Throwoff, frame and snares. The Throw Off may need complete disassembly, and cleaning as described above, reassembled and greased with the proper lubricant. The snares can be romoved from the frame, and that can be cleaned the same way.
Do pay careful attention during reassembly and DO NOT over tighten the Lug retaining screws.
Some people like to use various polishes on chrome, but ..... polish usually means abraisive, and .... well accidents do happen.
No matter what anyone tells you, under no condition do you use steel wool of ANY grade, EVER, NEVER NEVER NEVER forever never......on a COB Dynasonic.