We address the question, what additional information on the source sha
pe and dynamics can be extracted from three-particle Bose-Einstein cor
relations. For chaotic sources the true three-particle correlation ter
m is shown to be sensitive to the momentum dependence of the saddle po
int of the source and to its asymmetries around that point. For partia
lly coherent sources the three-pion correlator allows one to measure t
he degree of coherence without contamination from resonance decays. We
derive the most general Gaussian parametrization of the two- and thre
e-particle correlator for this case and discuss the space-time interpr
etation of the corresponding parameters.