Keep in mind that you are the interviewer and should provide the structure for the meeting. When you introduce yourself, chat briefly about who you are, but don't dwell on yourself. Also, be sensitive and don't overstay your welcome. Stay in touch, especially if the person expressed interest in your progress. If given a referral which turns out to be a gold mine of information, drop a note to the person who made the referral.
People appreciate knowing when they have been helpful.
Later, when you do enter the field and accept a promising position, a follow-up thank you would be polite, as well as wise. I would like to put your occupation into a context that I can understand. I'd also like to know how your department or function serves your organization. I would like to get a feeling for exactly what it would be like to have a job like yours.