Tom,
While I did also not find a direct verification of time dilution in the link I referred to, and some experiments seem to be overly complicated and opaque except for highly specialized experts, I found at least a lot of very obvious mistakes among the claimed evidence for SR.
For instance, the null results of Michelson and Morley as well as of Kennedy-Thorndike, Brillet and Hall, etc. are claimed at odds with the one-way anisotropy of light. However, Feist found out that they only confirm the round-trip isotropy, which is not questioned by those who question Lorentz crutches.
Isn't the following sentence funny? "A "one-way" test that is bidirectional with the outgoing ray in glass and the return ray in air." I rather agree with the admission: "the one-way speed is isotropic only in an aether frame" and "the one-way speed of light is anisotropic".
Observations from Supernovae show that the speed of light does not depend on the velocity of the source. Beckmann, also v. Essen, critics of SR, showed the same. I do not see this at variance with the propagation of a wave in a medium. It is merely an argument against the imagination of photons like particles.
So called measured limits of photon mass vary between 10^-15 and 10^-19 eV/c^2. Does this indicate a weakness in theory?
What about measurements with clocks, I feel not in position to reveal possible mistakes. I merely suspect that we have to be aware of Einstein's observer-related notion of time. His denial of the distinction between past and future might also affect measured lifetimes. Moreover I wonder how to use magnetic store rings as to confirm SR.
The Sagnac effect is certainly not a confirmation of SR. Robert calls it merely consistent with SR.
Eckard