The field of exoplanets has rapidly expanded from the exclusivity of exoplanet detection to include exoplanet characterization. Even so, studies of internal structure and atmospheres have been largely restricted to the low-periastron distance regime due to the bias inherent in the geometric transit probability. Monitoring known radial velocity planets at predicted transit times is a proven method of detecting transits, and presents an avenue through which to explore the mass-radius relationship of exoplanets at long periods around bright host stars. I will present new results from the Transit Ephemeris Refinement and Monitoring Survey (TERMS) which improves the orbits of known exoplanets through radial velocity and photometric monitoring. From this I will discuss additional applications of precise orbital timing beyond transit searches.