A male being pursued by a cougar (an older woman); similar construction to mentor-mentee and employer-employee.
"Mrs. Jenkins keeps hitting on Cory, that kid from the skate park. She's pretty hot, too. I wouldn't mind being her cougee."
The young male object of the affections of a cougar
Barbara's cougee was too young to pass the half-your-age-plus-seven rule, but he sure was cute.