The experimental consequence of Regge cuts in the angular momentum plane are investigated.The principle tool in the study is the set of diagrams originally proposed by Amati, Fubini, and Stanghellini.Mandelstam has shown that the AFS cuts are actually cancelled on the physical sheet, but they may provide a useful guide to the properties of the real cuts.Inclusion of cuts modifies the simple Regge pole predictions for high-energy scattering data.As an example, an attempt is made to fit high energy elastic scattering data for pp, ṗp, π±p, and K±p, by replacing the Igi pole by terms representing the effect of a Regge cut.The data seem to be compatible with either a cut or the Igi pole.