How do you remove sticky dust from a ceramic knick-knack?

I have recently acquired a ceramic knick-knack from a family member who is downsizing, however it is a seasonal decoration and when she had it up it was in her bathroom so the dust was wet and has since become sticky. It also seems that it was not thoroughly cleaned before being stored, so I would like to give it a good clean before I store it. Any suggestions as to how to remove the dust. The item is a musical hand painted piece so putting it into the dishwasher is not an option (many websites I have looked at suggest that)