We investigate a three-particle Hanbury Brown-Twiss effect in mesoscopic systems, where three electrons together can enclose a loop while neither single electron nor two electrons do so. This leads to the three-particle interference effect which manifests itself in the periodic oscillations of the third-order cumulant of current cross correlations as a function of the total phase accumulated by three electrons along the loop. Bosons such as photons also show a similar interference effect. (c) 2006 Elsevier B.V. All rights reserved.