But the point of enclomiphene is that it is selective. It does not antagonize all estrogen receptors equally. Regarding bone health in particular, this study measures osteocalcin and carboxy‐terminal collagen as a proxies. The authors conclude that "Treatment with enclomiphene citrate did not significantly affect levels of ... bone markers."...
If enclomiphene is really estrogen ANTAgonist everywhere in the body, including bones, it can lead to osteoporosis because it will then block the action of estrogen on bones. That applies to men too, not only to women.