Would like to type more and plan on doing so, (pressed for time right now), but just need to clear something up so we're all good on our science. :)
Precocious puberty is the onset of puberty before a typical or expected age. For a female, this means breast development and ultimately menstruation in a younger girl, say 7 or 8. It's problematic because of two reasons: 1. Bone growth dramatically slows after menarche (onset of menstruation), as the epiphyseal plates (growth plates) of bones fuse as a direct effect of estrogen. So, a girl who doesn't have years of growth prior to menarche will likely never reach a full adult height. 2. The psychoemotional effects of being a menstruating 8 year old with full breasts, pubic hair, etc. are concerning and very difficult for these little girls. Further, there may be cognitive and other neurologic effects to the brain that aren't fully understood.
Menopause, (the cessation of menses), does not occur as a result of precocious puberty. Indeed, fertility is often preserved and a concern for little girls, vulnerable given their age and appearance, as a pregnancy would be possible and highly risky for them.
Boys obviously don't have the concern of menstruation, but can suffer similar short stature because testosterone fuses their growth plates.
Anyway, as a pediatrician, I would be incredibly torn if one of my daughters ended up with this condition. Given the potential side effects of Lupron, (or equivalents), I would seriously consider just having a short daughter and homeschooling if needed...