give someone the big eye —(coll.) look at a person with an open display of romantic interest (also: give someone the eye):
- I can feel my dander rise watching him give her the big eye.
look at someone with big eyes—(also: look at someone wideeyed) stare at a person in surprise:
- “Are we having a son?” he asked, looking at her with big eyes shining from happiness.
Note: The expression does not correlate in meaning with the saying one’s eyes are bigger than his stomach—one wants more of smth. than he can handle:
- His eyes are bigger than his stomach, or converted to garden terms, he would like to grow more varieties than his land can accommodate.