arturo7
路I'll side with the guys who say get it serviced. This is assuming that you are going to keep it.
<joke>
Is this your first?
This is a gateway drug that will lead you to heavy stuff (e.g. vintage speedmasters, PP, AP, VC, etc) that will destroy you life!
Now you got listen to me, young man! If you stop now, you may still be able to get free of the addiction and save your finances, family and job.
</joke>
Now seriously, it is a nice timepiece and, as others suggested, you should think about getting it serviced.
馃榾
That won't help: The lacquer layer is damaged at several areas and it already has hairlinecracks at other areas.
From what I learned this is irreversible!
Yes, as you guessed, this is a gent's watch. Back then people didn't see the need for watches to be bigger than this. Also, they wanted watches to fit easily underneath dress shirt cuffs.
Have it serviced as soon as you're sure you want to keep it. Lubrication dries up and if it's wound and worn with dry lube the parts wear and then service gets more expensive. People have already recommended an independent watchmaker with an Omega parts account. The reason is, Omega will polish the heck out of it in order to make it look brand new, which destroys its value as a vintage watch. And just to rub salt in the wound, Omega will charge absolutely top price for doing this. Service should include replacing the crystal, in order to make it seal well, and probably a replacement crown. Typical independent shops warranty their work for 2 to 3 years and recommend servicing again about every 4 to 5 years. At the place you get it serviced, they ought to pressure test the watch free each year to make sure the seals are still good.
If you post your location people may be able to suggest a watchmaker who's good with vintage watches.
https://www.cousinsuk.com/category/filter/omega-case-parts
Cousins has the crystal pz5028 is for 165.002 (no date) These are steel ring crystals.
Cousins does not have pz5056 is for 166.002 (with date window) (no magnifier)