Nope. Aside from members of my family and close friends, I've never told everyone using a megaphone that I'm applying for the service. Although I've told my former co-workers, teachers, non-profit execs that I've worked with in the past to ask them as my references. But I've never told people that see or talk to me regularly like current co-workers, people at my gym, and in my social media friends. That way I can focus more on my full-time job, French lessons on Duolingo, and gym and not keep on waiting for "the call".
As having a friend already in the service, I know the application process will be like and to tell everyone about it will lead to listening to their enquiry every other month: "What happened to your army application?"