  A phenomenon recently coined as ``overaging'' implies a slowdown in the
collective (slow) relaxation modes of a glass when a transient shear strain is
imposed. We are able to reproduce this behavior in simulations of a supercooled
polymer melt by imposing instantaneous shear deformations. The increases in
relaxation times $\Delta \tau_{1/2}$ rise rapidly with deformation, becoming
exponential in the plastic regime. This ``overaging'' is distinct from standard
aging. We find increases in pressure, bond-orientational order and in the
average energy of the inherent structures ($<e_{IS}>$) of the system, all
dependent on the size of the deformation. The observed change in behavior from
elastic to plastic deformation suggests a link to the physics of the ``jammed
state''
