Laser-induced electron tunneling, triggering a broad range of ultrafast phenomena such as the generation of attosecond light pulses, photoelectron diffraction and holography, has laid the foundation of strong-field physics and attosecond science. Using the attoclock constructed by single-color elliptically polarized laser fields, previous experiments have measured the tunneling rates, exit positions, exit velocities and delay times for some specific electron trajectories, which are mostly born at the field peak instant where the laser electric field and the formed potential barrier are stationary in terms of the derivative versus time. From the view of the wave-particle dualism, the electron phase under a classically forbidden, tunneling barrier has not been measured, which is at the heart of quantum tunneling physics. Here we present a robust measurement of tunneling dynamics including the electron sub-barrier phase and amplitude. We combine attoclock technique with two-color phase-of-the-phase spectroscopy to accurately calibrate the angular streaking relation and to probe the non-stationary tunneling dynamics by manipulating a rapidly changing potential barrier. This phase-of-phase attoclock (POP attoclock) directly links the measured phase of the two-color relative phase with the ionization instant for the photoelectron with any final momentum on the "detector", which allows us to reconstruct the imaginary tunneling time and the accumulated phase under the barrier. The POP attoclock provides a general time-resolved approach to access the underlying quantum dynamics in intense-light-matter interactions.