A few-body model for stripping reactions based on the Glauber approach is p
resented, which goes beyond the usual spectator core' assumption. The model
, which is applied to the one-neutron knockout reactions (Be-12,Be-11) and
(C-16,C-15), assumes an incident three-body projectile (core-2n) with an ou
tgoing two-body subsystem (core+n) and includes off-diagonal elements in th
e transition matrix for the surviving fragment which couple different singl
e particle states. Corrections of less that 10% to the stripping cross sect
ions are found when these dynamical effects are included, implying that the
spectator assumption is valid even when the spectator is itself a lossely-
bound composite system.