A clamp for handling stacked loads of different sizes has a hydraulic circuit capable of selectively causing closing movement of a pair of clamp arms in synchronized unison with each other and thereafter, automatically in response to resistance to closing movement by one but not the other of the pair of clamp arms, causing unsynchronized closing movement of the other clamp arm. Subsequently, upon opening of the clamp, the hydraulic circuit initially causes opening movement of the previously unsynchronized clamp arm and thereafter, automatically in response to the attainment of synchronized clamp arm positions, causes opening movement of the pair of clamp arms in synchronized unison with each other.