  We propose a protocol to probe the ultrafast evolution and dephasing of
coherent electronic excitation in molecules in the time domain by the intrinsic
streaking field generated by the molecule itself. Coherent electronic motion in
the endohedral fullerene \Necsixty~is initiated by a moderately intense
femtosecond UV-VIS pulse leading to coherent oscillations of the molecular
dipole moment that persist after the end of the laser pulse. The resulting
time-dependent molecular near-field is probed through the momentum modulation
of photoemission from the central neon atom by a time-delayed attosecond XUV
pulse. Our ab-initio time-dependent density functional theory and classical
trajectory simulations predict that this self-streaking signal accurately
traces the molecular dipole oscillations in real time. We discuss the
underlying processes and give an analytical model that captures the essence of
our ab-initio simulations.
