I went to change the battery years ago, took it out, and never ordered one. It has never bothered me once. The watch looks just as nice, and it usually takes GFs many weeks to realize it's not working. And that's only because it's set to 11:11 which is a common cliche meme type time that girls like. (Yes I set it to that on purpose for a girl once)
A watch is basically a form of acceptable male jewelry. It still acts as jewelry if it doesn't tell time.