Heure Exacte Chronometre

Those links aren't working, can you post a photo?

Well it is a desk clock chronometre from probably the early 1920's. I don't know much about these, there are others who do who can probably give you more details although having said that if you Google "Omega Heure L'exacte" you will probably find everything you need to know.

Value is always tricky, you say it needs a service and the metalwork looks to have been aggressively cleaned in the past as the black lettering is very heavily worn. The market for these I would imagine to be quite thin so condition will be paramount for any potential buyer and as I see these listed and sticking around for a long time around the $2-2.5k mark I can imagine yours selling as is for perhaps half of that.