The ETA 2688 is a Day/Date version of the 26xx series of ladies sized calibres. It's interesting that it would be in a DJ, but stranger things have happened. It could also be the case that the asian clone of the 26xx series ETA movements have a different naming scheme the same way the 24xx series do (e.g. the ETA 2836 is a day date version of the 2824, but for asian clones the 2836 is often the GMT version of the 2824).

ETA Caliber 2688 Watch Movement
Manufacturer ETA Caliber Number 2688 Base Caliber ETA 2681 Movement Type Automatic, self-winding mechanical Lignes 8.75''' Diameter 19.4mm Height 5.35mm Jewel Count 17 Beat Rate 21,600 vph, 3 Hz Lift Angle 51 degrees Power Reserve 38 hours Rotor Style Ball-bearing Hand-Windable? Yes Anti-Shock...

^^^ for reference.