It might be OK. Todays chainrings made for index systems have shifting gates, or cut down, skipped, or otherwise modified teeth in certain locations to improve chain pickup during shifts. If there's some uniformity in the "chips" it might be normal.
On the other hand, poor shifting technique, especially hard shifting under load can chip or bend chainring teeth, along with causing excess stress on chain plates. Given that you have chain skipping problems besides, I'd let the LBS have a look, and do what's needed to fix the problem. While there also ask about the condition of the chainrings. At the very least you'll have peace of mind.
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