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Exploiting the data of the Grism Lens-Amplified Survey from Space (GLASS), wecharacterize the spatial distribution of star formation in 76 high star forminggalaxies in 10 clusters at 0.3< z <0.7. All these galaxies are likelyrestricted to first infall. In a companion paper we contrast the properties offield and cluster galaxies, whereas here we correlate the properties ofH{\alpha} emitters to a number of tracers of the cluster environment toinvestigate its role in driving galaxy transformations. H{\alpha} emitters arefound in the clusters out to 0.5 virial radii, the maximum radius covered byGLASS. The peak of the H{\alpha} emission is offset with respect to the peak ofthe UV-continuum. We decompose this offsets into a radial and tangentialcomponent. The radial compo- nent points away from the cluster center in 60% ofthe cases, with 95% confidence. The decompositions agree with cosmologicalsimulations, i.e. the H{\alpha} emission offset correlates with galaxy velocityand ram-pressure stripping signatures. Trends between H{\alpha} emitterproperties and surface mass density distributions and X-ray emissions emergeonly for unrelaxed clusters. The lack of strong correlations with the globalenvironment does not allow us to identify a unique environmental effectoriginating from the cluster center. In contrast, correla- tions betweenH{\alpha} morphology and local number density emerge. We conclude that localeffects, uncorrelated to the cluster-centric radius, play a more important rolein shaping galaxy properties.

The Grism lens-amplified survey from space (GLASS). VIII. The influence of the cluster properties on Halpha emitter galaxies at 0.3