I always disassemble chucks when I get them, new or used, and clean with mineral spirits or naptha using a brass brush and paper shop towels and q tips as needed. I want all grease, oil, and rust preventive removed - they just collect dust. I then use Alox (cast bullet lube) rust preventive thinned down to coat everything and let dry. All friction surfaces get a good coating of paste wax, allowed to dry for 20-20 min while continuing to smear it around, then wipe off/lightly buff the wax. No rust problems and rarely need to disassemble to clean - just blow out accumulated dust once in a while.
I think the Nova chuck manual has step by step disassembly instructions.