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The decays of~Xe, Xe, and 3 I were examined for the presence of energy levels in Cs, Cs, and ' Xe, respectively, with measurable half-lives in the nsec range. Using a least-squares fitting procedure to analyze the delayed coincidence data taken with a planar Ge(Li)-plastic scintillator system, the half-lives of the following levels were measured: Cs: 69.0 keV, 23.3+0.7 nsec; 105.9 keV, 8.7+0.2 nsec; Cs; 13.9 keV, 471+51 nsec; 64.7 keV, 3.7+0.3 nsec; 103.1 keV, 7.3 +0.3 nsec (average of two measurements). In addition, upper limits for the half-lives of other levels in these two isotopes are also given, as well as for some levels in~3 6Xe. Possible multipolarities of the transitions are discussed.RADIOACTIVITY '3 I, '~X e, 'Xe from 3'U(n, f); measured delayed coin; deduced T&&2 for levels in Xe, Cs, Cs; Ge(Li) and scin detectors; massseparated activities.