Arterial spin labelling (ASL) is the primary non-invasive MRI approach to measure cerebral blood flow in healthy subjects and patients. Recently, a consensus paper has recommended segmented versions of 3D spin-echo readouts like GRASE, but these are susceptible to motion and have poor temporal resolution. To alleviate these drawbacks, we propose to accelerate the 3D GRASE readout and utilize 2D CAIPIRINHA for the reconstruction. We demonstrate that our approach is superior or at least equivalent to the 2D GRAPPA technique, depending on the acceleration factor used. The proposed approach will particularly benefit functional and clinical ASL applications.