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We present a selection of 24 candidate galaxy-galaxy lensing (GGLs)identified from Hubble images in the outskirts of the massive galaxy clustersfrom the CLASH survey. These GGLs provide insights into the mass distributionsat larger scales than the strong lensing region in the cluster cores. We builtparametric mass models for three of these GGLs showing simple lensingconfigurations, in order to assess the properties of their lens and itsenvironment. We show that the local shear estimated from the GGLs traces thegravitational potential of the clusters at 1-2 arcmin radial distance, allowingus to derive their velocity dispersion. We also find a good agreement betweenthe strength of the shear measured at the GGL positions through strong-lensingmodelling and the value derived independently from a weak-lensing analysis ofthe background sources. Overall, we show the advantages of using single GGLevents in the outskirts of clusters to robustly constrain the local shear, evenwhen only photometric redshift estimates are known for the source. We arguethat the mass-luminosity scaling relation of cluster members can be tested bymodelling the GGLs found around them, and show that the mass parameters canvary up to $\sim$30% between the cluster and GGL models assuming this scalingrelation.

Galaxy-galaxy lensing in the outskirts of CLASH clusters: constraints on local shear and testing mass-luminosity scaling relation