We make precise some results on the cloaking of displacement fields in linear elasticity. In the spirit of transformation media theory, the transformed governing equations in Cosserat
and Willis frameworks are shown to be equivalent to certain high-contrast small defect problems for
the usual Navier equations. We discuss near-cloaking for elasticity systems via a regularized transform and perform numerical experiments to illustrate our near-cloaking results. We also study the
sharpness of the estimates from [H. Ammari, H. Kang, K. Kim, and H. Lee, J. Differential Equations,
254 (2013), pp. 4446--4464], wherein the convergence of the solutions to the transmission problems is
investigated, when the Lam\'e parameters in the inclusion tend to extreme values. Both soft and hard
inclusion limits are studied and we also touch upon the finite frequency case. Finally, we propose an
approximate isotropic cloak algorithm for a symmetrized Cosserat cloak.