It would take a very sloppy watchmaker to get oil on the dial. The movement is oiled without the dial and the oil shouldn't migrate onto the dial surface. Possibly the back of the dial, but not the front.
I would prefer a damaged dial to a refinished one.
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Dave
Ace of Clubs
"Never mind the track. The track is for punks. We are Road People. We are Cafe Racers." - Hunter S. Thompson
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