Redialed ref 4444?

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That's an oyster case with a screw down crown...definitely not from the 40s! You are correct, probably 60s to early 70s even.
 
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Ed, Rolex was making Oyster cases with screw-down crowns in the '20s! The crown on this one looks pretty modern, though.

OP, this is definitely a refinished dial. This reference is from the later '40s-50s I believe. It's a relatively small, 32mm watch, but slightly bigger than a Speedking. The case SN would date it more accurately.
 
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Doh! My bad...but that case looks much more modern than 40s, more 60s even 70s.