I haven't actually taken the 2nd semester of General Chemistry yet, but from my high school experience and my 1st semester of college-level chem experience, I would say that high school helped me out only a little bit. But, like everyone else has said, it depends on your teachers and professors. My high school Chem teacher was a strict prick who didn't know how to teach...he'd yell at us when we didn't ask questions, because he assumed that we would have questions about what he was teaching. When we actually had questions, he would yell at us for asking what he deemed to be stupid questions.
I'm glad that I got out of his class...at least my Chem professor in college doesn't blow up when a student asks a so-called "stupid question"...and he also doesn't get angry when people don't ask questions, because assumes that we understand what he is teaching.
High school level chem...I probably wouldn't have needed much of that to learn college-level chem. I mean, what I am learning now is so easy and the grading scale is 80% and above is an A, 70% and above is a B, 55% and above is a C...so far, I'm getting an A- on this grading scale. Basically, if you're well-versed in basic algebra, then the only hard part comes in identifying what the questions ask on an exam...mole-mass-number conversions, titrations, limiting reactant, etc.
So, basically, from my experience, college-level chem doesn't require you to remember everything from high school, though I bet that it helps a lot...I got a D in high school chem and forgot almost everything I learned, and if my current chem prof was using the traditional grading scale, I'd be getting a B- from exams alone, though I bet that my homework assignments and lab work would probably bring that up to a B.