The use of a neumorphic analog clock, like any other clock, is primarily to display and communicate the current time in a visually appealing and user-friendly manner. However, the specific design choice of using neumorphism brings some additional aspects to consider:

Aesthetic Appeal: Neumorphism is a design trend that creates a soft, three-dimensional look, often resembling physical objects. The neumorphic style can add a modern and visually pleasing aesthetic to the analog clock, making it stand out and enhancing the overall user experience.

User Interface Design: Neumorphism is known for its focus on user interface design. The soft shadows and highlights give a tactile feel to the clock, creating a sense of depth and interactivity. This can make the clock feel more engaging and intuitive for users.

Modern Design Trend: Neumorphism has been a popular design trend in web and app development, especially around the time of your inquiry. Using this style for an analog clock can contribute to a contemporary and stylish user interface, aligning with current design trends.