Well yes and no, at least in the Navy. The chronometers are still compared every day and the rates noted but the old wind-up chronometers have long since given way to battery-powered quartz chronometers. I however, like any good QM, still have my chronometer key (7 1/2 half turns).
Or
Real clocks tick. Trying to explain celestial navigation to the math impaired can be....difficult. Bowditch not withstanding.