COMMON If you cast your eye, cast your eyes or cast an eye around, over, etc. something, you quickly look at something. Adam cast his eye over his notes again. He cast an eye around the room, at the window that Colin had just smashed. She cast her eye down the list of names. Note: You can also say that you run your eye, run your eyes or run an eye around, over, etc. something. There were various bottles on the shelf above and I ran my eyes over them. Nothing of interest there. He ran a casual eye down the first page of the bank statement.