Buffing compounds, brillo pads, Dremel tool aside, I would take it to the Omega Botique for cleaning. The San Diego botique has very knowledgeable staff that are so incredibly helpful. They have cleaned numerous Omega watches for me, adjusted bracelets, and ordered parts. All Omega botiques offer this service free of charge.
This is the oldest group shot pic in my phone. Still have the two JLCs. This pic has nothing to do with the original post. Just thought it made sense to have a watch pic.
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