In the scene where Neo is trying to save Morpheus and morpheus gets shot in the leg and neo catches him, look at Morpheus' shirt sleeve, its firmly in Neo's grasp. A few seconds later Neo is just holding Morpheus' wrist and no shirt sleeve
How could the shirt sleeve slip if the arm doesn't slip? I doubt Neo let his grip get loose enough to just let the sleeve come out. Chances are it was just multiple takes from different angles. Good slip-up!