Are lab-grown diamonds real diamonds?

Yes. They are chemically and optically identical to mined diamonds, just grown in a lab. They rank 10 on the Mohs hardness scale, so they wear the same way.

Is 10K gold good for earrings?

10K gold is 41.7 percent gold alloyed with harder metals, so it resists scratches and dents better than 14K or 18K. The trade-off is a slightly paler yellow color.

How do these compare with plain diamond hoops?

The drop adds length and movement, so they read dressier than a simple hoop. Plain hoops sit closer to the ear and snag less on hair.

What does 1 ct tw mean here?

It is the combined weight of all the diamonds in the pair, not one carat per stone. Each stone is small, so the sparkle comes from the cluster rather than a single large diamond.

Will the clasp keep them secure?

The clasp closure is designed to hold the drops in place during normal wear. Check it is fully engaged before wearing, since drop earrings are more prone to loss than studs.