Yes, the moiré effect is used in a variety of technologies today, such as for image stabilization in cameras, for display of medical images, and for optical character recognition. It is also used in a number of graphics and web design applications.

In terms of how it was observed in ancient times, it has been suggested that the moiré effect may have been observed by the ancient Greeks. For example, the philosopher and mathematician Euclid is said to have written about an optical effect created when two similar patterns were superimposed. Additionally, the Chinese philosopher Mozi is said to have left writings that reference an optical interference effect created by two different patterns.
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