I have purchased twice from them and have found out through their own representative that no, the watches are not serviced unless stated so in the description. The first watch I purchased was returned for a refund and the second watch was returned for warranty/servicing two days after I received it for corrosion and other issues. It took over a month for them to receive the parts as they came direct from Omega.
The rep from C&C told me that the listing information will directly state if it was serviced or not. If it doesn't state it, then it was not. For the most part C&C just verifies the watch's authenticity before listing and that is it. Here are a couple screenshots of Speedmaster's where two were serviced and one was not. With that said, I would still budget for a servicing.
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