I believe I developed my intuition as a result of growing up in a poor and rather chaotic family. "Life came at us fast," as they say in the commercial and being able to intuit my parents' moods and actions was key to survival. This ability to tune in to others didn't go away when I left home, but rather grew stronger. The times I have chosen to ignore it (e.g., my two marriages), I have always ended up regretting it.
It was really helpful, though extremely painful at times, to be so tuned in to my son who has schizophrenia. Still, it helped him get the assistance he needed and he's doing extremely well for someone his age with his diagnosis, so I guess it was worth the cost. My partner/roomie of 15 years--who is a 'T'--has always encouraged me to follow my intuition because when I don't, I make my biggest mistakes.
I'd say my intuition is less a matter of pre-cognition--though I've had some of those experiences too--but one of tuning in to people, especially those close to me. Even with complete strangers, though, I can usually tell when someone means me harm.
I wonder sometimes if it is my intuition, which is really more a matter of extreme empathy, that compels total strangers to tell me their problems, sometimes their life stories. Once my roomie, my son and I were waiting for a bus in the Greyhound station. Roomie and son were hungry and went to McDonald's a block away to pick up a burger. They were gone only 15 minutes, but by the time they returned, a woman in the station had come up to me and confided her problems with a daughter who was mentally ill and locked up in one of the state hospitals, which was exacerbating the girl's condition. Getting her out and back into the community was something my roomie--an advocate extraordinaire--could help her with, though the woman had no way of knowing that when she came up to me and struck up the conversation. My roomie got involved in the situation and the daughter was later released to her mother's care.
Despite living with this thing, intuition, empathy--whatever you want to call it--most of my life, I still find it hard to trust it at times, especially when it contradicts what my wayward little heart wants (e.g., the marriages).