Looks quite correct from here (hands, dial, pushers, case, movement, reference number). You haven't given us a good view of the crown, but the profile looks promising and the crown should be unsigned from the factory. Nor have you shown us inside the caseback, which could help to date it based on the logo style. But your guess of the 1950s is reasonable.
Only correction is that it's an Universal Geneve Calibre 287 movement, not an Omega--surely a typo. This is the largest of the commonly used chrono movements from Universal, so this piece is a large size for its vintage.
Fit it with a new crystal and a careful, light brushing of the dial to remove lose debris, and this one may even clean up better than you expect.
Have the movement serviced by a chrono/Universal specialist and don't touch that case with a polishing wheel, no matter how tempting.
Welcome to the forums, and congrats on a nice pick-up.