I've had that
Though I wasn't interested in the "opportunity". I was asked by several companies if they could submit me for the same role, over a few years. I finally had to make several phone calls to them and send emails asking them NOT to consider me for this role anymore. I've had another company, direct hiring, that hounded me for about 5 years before they FINALLY got the message I wasn't interested in working for them. Every two weeks I'd get an 'exciting opportunity' offer from them. The typical, 'we've found your resume online' BS.
Funny though, I haven't started a job through a recruiter besides working for recruiters. I've worked with career companies, which are like glorified recruiters, before. They get opportunities through their private contact network, they are paid up front to find the right employee, generally 6 figures and up and jobs are never publicly advertised or given to multiple recruiting firms.
They don't get a chunk of your salary, but they cost $5000.00 for a 3 year career program were they consult with both the employer and yourself to ensure you are both happy every few months. Good system, great jobs and income level, expensive to get into though.