We present new results from the like-sign dilepton search for chargino-neutralino (chi-bar+/-_l chi-bar0_2) production in p anti-p collisions at s**(1/2) = 1.8 TeV, which complements the previously published trilepton search with the CDF detector using Fermilab Run IB data. Monte Carlo calculations of signal efficiency and backgrounds, as well as estimates of certain backgrounds taken from Run IB data, indicate a significant increase in sensitivity to chi-bar+/-_1 chi-bar0_2 production compared to the traditional trilepton analysis alone.