As a headhunter (my day job), I can tell you that this would be a real shitty thing to do. Unless of course they've been unethical towards you -- for example,

As a headhunter (my day job), I can tell you that this would be a real shitty thing to do. Unless of course they've been unethical towards you -- for example, like one commenter said here, trumping up the job description. Also, as another commenter implied -- you are going to get stronger consideration for the job by going through the headhunter than if you apply directly, especially if it's an attractive position that they receive a lot of applicants for. If they're good, they'll get you a better offer, too. Be nice to recruiters; most of us are trying hard to provide a valuable service.