Photoelectron spectra of inner core states of magnetic material show polarization features determined by the magnetic properties of the valence electrons. This offers a new possibilty of using electron spectroscopy as a magnetic probe. The low intensity of these photoemission lines led us to use very-low-energy-electron-scattering from Fe as spinpolarimeter with an efficiency about 20 times higher than previously used spin detection techniques. First experiments on the Fe 3p and 3s core levels confirm exchange split lines. For thin Cr overlayers on Fe(001) we find the polarization of the Cr 3p level for Cr coverages up to two monolayers to be opposite to that of the Fe 3p core level. Effects of the film thickness on the spin-resolved core level spectra are discussed.