A ballerina's quick, perfect steps? An antique porcelain teacup? A tiny sentence etched inside a silver locket? All of these have delicacy, or fineness that comes from being light, beautiful, or small.
A delicacy can also be a prized dish that is eaten on special occasions or is especially loved by those in a certain culture or place. But what is a delicacy to some (chocolate-covered crickets, anyone?) might disgust others. Remember to use delicacy, or tact, in turning down someone else's delicacies. This could help you avoid hurting someone's feelings.