In recent work on experimental tests of quantum-gravity-motivated phenomeno
logical models, a significant role has been played by the so-called "kappa"
deformations of Poincare symmetries. Sensitivity to values of the relevant
deformation length lambda as small as 5 x 10(-33) m has been achieved in r
ecent analyses comparing the structure of kappa -Poincare symmetries with d
ata on the gamma rays we detect from distant astrophysical sources. We inve
stigate violations of CPT symmetry which may be associated with kappa -Poin
care in the physics of the neutral-kaon system. A simple estimate indicates
that experiments on the neutral kaons may actually be more lambda -sensiti
ve than the corresponding astrophysical experiments, and may already allow
to probe values of lambda of order the Planck length.