We study propagation efects due to the fnite speed of light in ionization of extended molecular
systems. We present a general quantitative theory of these efects and show under which conditions
such efects should appear. The fnite speed of light propagation efects are encoded in the non-dipole
terms of the time-dependent Shrödinger equation and display themselves in the photoelectron
momentum distribution projected on the molecular axis. Our numerical modeling for the H+
2 molecular
ion and the Ne2 dimer shows that the fnite light propagation time from one atomic center to another
can be accurately determined in a table top laser experiment which is much more readily accessible
than the ground breaking synchrotron measurement by Grundmann et al. (Science 370:339, 2020)