Slice-stretching effects are discussed as they arise at the event horizon when geodesically slicing the extended Schwarzschild black-hole spacetime while using singularity excision. In particular, for Novikov and isotropic spatial coordinates, the outward movement of the event horizon ('slice sucking') and the unbounded growth there of the radial metric component ('slice wrapping') are analysed. For the overall slice stretching, very similar late-time behaviour is found when comparing with maximal slicing. Thus, the intuitive argument that attributes slice stretching to singularity avoidance is incorrect.