I recently purchased this and want to restore the little bit that's up with it but I have no idea if it has a model designation or where to start. All I know is an age estimate based on the serial, any more info would be greatly appreciated.

 

I'm enjoying a wee dram ATM, so off the top of my head.

A nice Omega Lépine 15 jewel movement. A vitreous enamel ("porcelain") with Omega "Paris" style Arabic numerals and gold Louis XV hands.
Movement looks to be a caliber 18''' but if you can measure the diameter of the gilded section it will be helpful.

From the serial number I would date the movement to about 1920, if you can show the case number it can be refined further.

It's a very nice example and deserves to be serviced and used.

 

Congrats on your new watch . Here are a few related threads you might be interested in reading

https://omegaforums.net/threads/the-omega-pocket-watch-thread.122246/

https://omegaforums.net/threads/calling-all-pocket-watch-buffs.127856/