It was lot 88 in the Antiquorum "Omegamania" sale in 2007 (it really was Omegamania judging by the prices achieved).
The same watch sold for 13,800CHF -- about $11,000 then.
I'd love to know a bit about their history -- mine is pictured above.
Here was the catalog blurb:
Omega, “Signal Corps U.S.A.”, No. 5271257, case No. 5948233, Ref. AR 709 Ad. Sold on September 3, 1918. Very fine and exceptionally rare, aluminum military wristwatch. This watch is sold with a box, Certificate of Authenticity and 2-year Omega guarantee.
C. Two-body, solid, polished, screwdown bezel, wire lugs attached to the movement ring through the case. D. White enamel with bold luminous Arabic numerals and outer minute track, subsidiary seconds. Luminous blued steel “skeletonized” hands. M. Cal. 13’’’, frosted gilt, 15 jewels, straight-line lever escapement, cut bimetallic balance, blued steel Breguet balance spring, indx regulator. Dial, case and movement signed. Diam. 35 mm. Thickness 11 mm.
Estimate: 5,000 CHF - 7,000 CHF(EUR 3,000 - 4,400) (USD 4,200 - 5,800)