  We present the first numerical simulation of the time delay in the
photoionization of the simplest diatomic molecule H$_2^+$ as observed by
attosecond streaking. We show that the strong variation of the
Eisenbud-Wigner-Smith time delay as a function of energy and emission angle
becomes observable in the streaking time shift provided laser field-induced
components are accounted for. The strongly enhanced photoemission time shifts
are traced to destructive Cohen-Fano (or two-center) interferences. Signatures
of these interferences in the streaking trace are shown to be enhanced when the
ionic fragments are detected in coincidence.
