The dial looks like it is not enamel but painted.
I wouldn't risk cleaning it.
On similar matte black Seiko dials (probably 50 years newer) - I've gotten away with dabbing them with polywatch, or similar cutting compound and then just wiping it off (not polishing it of course).
There won't be many who would advocate touching it here.
There is one guy - who if he is reading - would say DON'T PUT WD40 on it, because I suggested someone used a microscopic amount of wd40 do get rid of a stain.
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