are there still professional 'headhunter' agencies that require the hired-employee to pay their fee?

[Win Place Show]

Many moons ago, searching for my first job out of college, I remember one of the recruiting agencies that I got mixed up with (that sent me out on a bunch of pointless interviews that barely matched my degree), had as one of their stipulations that it was the employee who would pay their fee, upon getting hired - not the hiring company.

Nowadays, that concept seems totally foreign to me, but I'm wondering if that sort of operation / 'policy' still exists?