Abstract: A time-dependent angular analysis of B-s(0) -> psi(2S)phi decays is performed using data recorded by the LHCb experiment. The data set corresponds to an integrated luminosity of 3.0fb(-1) collected during Run 1 of the LHC. The CP-violating phase and decay-width difference of the B-s(0) system are measured to be phi(s)=0.23(-0.28)(+0.29)+/- 0.02rad and Delta Gamma(s)=0.066(-0.044)(+0.041)+/- 0.007ps(-1), respectively, where the first uncertainty is statistical and the second systematic. This is the first time that phi s and Delta Gamma s have been measured in a decay containing the psi(2S) resonance.