Myth #451: "My job will be in jeopardy if anyone at work catches wind that I networked with a recruiter..."
You will NOT get fired for connecting or speaking with a headhunter or recruiter. 100% guaranteed.
At the end of the day, a recruiter -- also known as a headhunter, depending on whether they are internal or external -- is a career connector and serial networker that often times can provide plenty of value both now (free advice, networking) AND when the timing is right for you (exploring potential career moves). I have had way too many folks shy away from initial conversation strictly out of fear that he/she would be doing something wrong.
This feeling of guilt is both natural and common -- think Clark Griswold "blousing" for lingerie in National Lampoon's Christmas Vacation -- but the reality is this: A recruiter is nothing more than a fellow business professional with a wealth of useful information and insight, whose job is to keep the cogs of the job economy turning. Getting "let go" by an employer for connecting with a career advisor is as likely as a bank cancelling a long-term loan because you checked your credit score.
Bottom line: Good headhunters are in fact great connectors, beacons, coaches, interpreters, and more. If you are contacted by one and he/she looks legit -- solid career track, credentials, recommendations... that's what LinkedIn is for! -- accept their request for a quick introductory call. Benefitting from such a connection down the road, or possibly even today, is both guaranteed and inevitable. As my dad has always said, "You can never have too many good connections or career options."
If a recruiter or headhunter has recently reached out to network with you, perhaps even share a potential career opportunity, and you hesitated, let this be your excuse to follow up and see if building a relationship makes mutual sense. During your call, ask a question or two so there's a "takeaway," e.g. how to enhance your resume/LinkedIn profile, or what local industry groups/meetups you should consider joining. Completely win-win, whether now or in the future.