Gluinos in the mass range ∼ 1 1 2 − 3 1 2 GeV are absolutely excluded. Lighter gluinos are allowed, except for certain ranges of lifetime. Only small parts of the mass-lifetime parameter space are excluded for larger masses unless the lifetime is shorter than ∼ 2 × 10 −11 mg 1GeV sec. Refined mass and lifetime estimates for R-hadrons are given, present direct and indirect experimental constraints are reviewed, and experiments to find or definitively exclude these possibilities are suggested.In this paper I address the question of whether long-lived gluinos having mass less than ∼ 1.5 or greater than 3.5 GeV are excluded on other grounds.Many experiments which are commonly cited as ruling out gluinos of this mass range actually provide only weak limits when one takes account of the gluino lifetime. These experiments as well as the most powerful indirect constraints, which are also presently unable to exclude this mass range, will be reviewed below. My purpose here is to propose tests which will unambiguously demonstrate or exclude the existance of light gluinos.An inevitable consequence of the existance of a long-lived gluino is the existance of neutral hadrons containing them. Generically, hadrons containing a single gluino are called R-hadrons [12]. The lightest of these would be the neutral, flavor singlet gg "glueballino", called R 0 . There would also be R-mesons,qqg, and R-baryons,qqqg, with theqq or qqq in a color octet.Unlike ordinary baryons which are unable on account of fermi statistics to be in a flavor singlet state, there is a neutral flavor-singlet R-baryon, udsg, called S 0 below. It should be particularly strongly bound by QCD hyperfine interactions, and probably is the lightest of the R-baryons [2,13], even lighter than the R-nucleons.The strategy pursued here is to identify production and detection mechanisms for the R 0 for which reliable rate estimates can be made, so that searches which are sufficiently sensitive will definitively rule them out or find them. First, we use theoretical arguments to estimate R-hadron masses as a function of gluino mass. Then experiments are proposed to settle the question.2 R-hadron mass estimates photon energy spectrum, and thus be excluded by CUSB.