I would be very, very careful about servicing and "cleaning up" your Seafarer.
I was the owner of a A&F Seafarer ref. 346 that recently sold (US$48k hammer price + buyers premium) at Christies. See photos and comments at the On The Dash page, re. the June 21st auction.
Prior to selling, I got in touch with Jeff and some other vintage Heuer specialists (I was an amateur, and have learned a fair amount about this market since) and the concensus, hands down, was to do as little as possilble to your vintage Heuer. The face on my Seafarer was very patina-ed, tropical dial. THAT is exactly what made it so collectable, and valuable. I thought a nice, clean dial would increase the value, when in fact it would have been highly detrimental to the end result.
Think it over. Christie's, specifically Eric Wind (watch dude there), has come out with some recent articles regarding my watch, and others with the tropical vintage dials.
Cheers from Brazil!