Best 'how to take your chuck apart, clean it, and put it back together came from Ian Robbo Robertson from Australia. He takes apart a Vicmark and a Nova Chuck. He is most famous for his 'Why you don't use a roughing gouge for turning bowls video. Practical, and to the point.
I prefer to turn sloppy wet wood and let it dry and warp. For cleaning my tools, mostly it is wipe them off with a rag, taking care to avoid sharp edges. If I leave them over night and the gunk dries on the tool, I do keep one grinder with a wire wheel on it in my shop. The wire wheel is really good for cleaning up that gunk. I have my 'sanding chuck' which has the extended jaws. Those jaws get a lot of sawdust and walnut oil on them. Again, I take them to the wire wheel. Some times bit of solvent is necessary.
robo hippy