I don't think it'd be called limerence, but I definitely have had this. I was in JROTC in high-school, and really thrived in it. Even as an elementary schooler I was really intrested in the military and military history. Sort of a special interest/hyper fixation. Because of some abuse that happened to me as a kid, I was diagnosed with PTSD super young (like 12) and attempted suicide and self harmed to the point of having to go on meds and be hospitalized in middle school. Of course, that mental health record made me ineligible for service from practically every branch, which of course I wasn't thinking about because I wanted and planned to be dead many years before 18. Even though many people have told me I wouldn't have been cut out for it anyways, and tbh it's not the safest career path for women anyways, I'm still sad about it in my 20s.