Existing atomic clocks based on electrical interactions are extremely sensitive to the surrounding magnetic and electrical environment-- so for example accuracy is limited by collisions with other atoms, so state of the art atomic clocks have optically trapped clouds in high vacuums. Beyond limiting their accuracy generally makes the instruments very complex.
One could imagine an optical-nuclear atomic clock in entirely solid state form on a single chip with minimal support equipment achieving superior stability to a room sized instrument.
The latter is important in physics to determine if these constants are truly constant in space and time. Which is a large assumption we have about the universe.
The cool applications usually come later (or they're more esoteric). The researchers were more excited to determine the actual frequency than think about clocks