Based on your one poor photo I'd say it's likely a locally cased watch with no Omega reference. There may be some identifying information marked inside the case back and on the movement.
Manual Winding Cronograph - No date - Golden hands - Monocle hours hand - 1945 model
Chronograph? With no way to measure elapsed time and no pushers. I think not. How do you know it is from 1945? Show a pic of the movement and inside the caseback and you'll get an answer.
OK so the only thing I can make out there is that the case is gold plated not solid gold. There is an Omega symbol in there but I can't make out the 2 lines of text below. Can you read them?
Either the hands are incorrect or the dial has been redone. There should be a minute track at the periphery of the dial.
The hands are actually "Pontife" style, although the minute hand looks to be "Leaf"style, but it's hard to tell from the photo.