How do I clean my watch face

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Hi, two marks emerged today on the face of my previously pristine watch - I left the watch in my locker during a swim, so not sure if it is moisture from the air, or what, or if some chlorine leaked in from my wrist, or if it’s dirt from

Anyway how do I clean it? Or get it cleaned? Recommendations for people who would sort it welcomed, or what to do myself.
 
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Photos in focus would help. Based on what I can see in what you posted, I would leave it alone because I don't see anything.
 
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Find out how it happened, and have the leak fixed. But neither YOU nor anyone else should make the dial worse by trying to clean it! Especially, don’t you try it!
 
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Photos in focus would help. Based on what I can see in what you posted, I would leave it alone because I don't see anything.

I shall have another go, but there’s a big grimy mark at the edge near the number 10.
 
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I shall have another go, but there’s a big grimy mark at the edge near the number 10.
I see it now. I thought that was a shadow. What @Canuck said.