Though this technique is commonly called a hook punch, and though it can be used that way, It just never feels right that way. I usually interpret this as one of a couple of grappling movements...
- a simple grapple - uke pushes or grasps your chest with either or both hands and you cover his hands with your forearm, holding him to you as you shift, dragging him off balance in preparation for the next strike or throw.
- iriminage - similar to Steven Seagal's clothesline, stepping across and placing your foot behind him in his weak line and either pushing his face with your palm or hooking his head with your elbow to drive him backward over your leg.