Westclox Alarm, ca. 1965
While Westclox was best known for cheap alarm clocks, they also produced a (very) cheap alarm watch. To keep costs down, it lacks a seconds hand, and the alarm time is set by depressing the pusher at 2 o'clock, which advances the alarm hand by approximately 12 minutes. A slide switch at 9 o'clock turns the alarm on and off.
This example needs a service to get it running again, and the hour and minute hands are likely not original. But, the alarm does wind and function, and it's mighty loud.
Many thanks to Dick Liebson for the vintage-style strap!