We are advancing the field of atom interferometry by combining features of the world's most precise atomic clocks with novel tools in matter-wave optics. The result is a state-of the-art inertial sensing technology that is poised to become a powerful tool for discovery in fundamental physics. We build experiments from table-top matter-wave interferometers and 10m-scale gradiometers to 100m-baseline detectors — the largest atomic sensor ever built. We intend to use these devices for laboratory tests of general relativity and the equivalence principle, for testing quantum mechanics in new regimes, and to perform the most precise measurement of atomic charge. Ultimately, we want to leverage this emerging technology to search for ultra-light dark matter candidates and showcase a prototype gravitational wave detector based on clock atom interferometry.