eye-stalk

verb2

1. •
   (Of working dogs) To intensely stare to intimidate and control livestock.

   • I'd play cribbage with the herders and Jane would push the sheep to the top of the mesa, picking up the strays as she eye-stalked-chased (worried) the stragglers. — 2002
2. •
   To look at someone in an evaluating or scrutinizing manner.

   • The private eye stalked the surgeon for several months but always seemed to be one step behind. — 1993