Any good quality quartz watch can be used for celestial navigation. Having two or more watches is necessary, for reliability. At least one of them should be kept in a safe place, protected from the sun and water. A watch behavior should be observed well before taking it to the sea as a navigator watch. Calculate the watch error change rate every two weeks, starting at least 3 months before the actual navigation use.
Most electronic watches have a stable error change rate.
Keep a page in the navigation log book for each watch, were information about battery changes, time adjustments and watch error change pace are kept. This page can also be used calculate the current watch error. Have spare batteries on board. Forget the computer built in clock. These are very bad clocks and behave erratically.