Zeno's Paradox is primarily illustrative of the dangers of
thinking too rigidly and/or
logically whilst ignoring the "
real world" (he says, laughing).
Zeno was most likely aware that his "paradox" was entirely moot. People (and other things) do not move exclusively in half distances. Or any other precise division of distance. As such, I submit that the real lesson to be learned from the paradox is that esoteric mathematical problems merely describe the world; they do not control it.
I fully expect flames from people crying out that mathematics is the language of physics, which does indeed "control" the world. Regardless, I stand by my interpretation.