The sentence as it is written is grammatically correct. Nearly all native speakers would understand it without difficulty. (I qualify that because speaking in absolutes is dangerous.)
However, as the comments have noted, repetition of the same word in one sentence is normally discouraged. (As an example, see Carolyn Jewel's site, which popped up in a quick search.) This isn't because it's syntactically wrong, it's because people are only human. Humans in general crave novelty, and when a writer misuses repetition, boredom sets in.
There are times and places where repetition is appropriate. AllWriteFiction discusses correct use of this writing technique. It's a powerful tool, but like any tool it can be damaging as well as creative.
Regarding the particular writing sample you're inquiring about, my personal reaction is to reword it slightly (in the same way Tyler James Young notes in the comments):
I don't know whether it was deliberate, but in this piece of writing I encountered recently, the author used antisocial in a context where I feel unsocial would fit better. It's a reputable source, but...
TL;DR: The sentence as written is technically correct, but should probably be reworded so as to avoid disconcerting the reader.