The best things to check out - from a savings perspective are textbooks.
We've had great success with textbooks.com, as well as
Amazon. If we "have" to get a textbook at the bookstore (part of Barnes & Noble) I always order SCRIP, so that our church parking lot fund gets 9%. Occasionally - the professors write a book, and it is only available at the bookstore. I also find that if I can't find a book through Amazon, textbooks.com, that sometimes it is cheaper through Barnes &Noble online, than it is through the bookstore.
For my DD's 2nd semester, she spent $50 on books. There was a pretty good "secondary market" of textbooks available through her sorority sisters! DD also sent a professor an e-mail to see if that section of speech/communications class used the electronic content that was included in the bookstore purchases. The professor said that "no" the electronic content was not required, although some students used it for studying.
My DD has had great success selling books back (if they aren't related to her major) through Amazon.
Also - if they are in the dorms - be sure to check out the meal plan options if there is more than one available. Many campuses have a "use-it-or-lose-it" approach to their meal plans, so you want to make sure that the meal plan is appropriate for the "eater" you have.
My DD is very specific about her toiletries - so she is on her own for purchasing them. Been that way since she could drive herself to the store.
From a cost savings perspective - see if you car insurance can be lowered if they are not taking cars on campus. Our insurance didn't do this, but I believe some insurance companies do, if your child is a certain number of miles away from home. This is a moot point for us, since DD now has a car on campus.
My DD was pretty specific as to what she wanted in her dorm. I knew she wanted things like a scale, an electric sweeper/broom thing, an electric tea kettle etc. I started to purchase that stuff for birthdays and Christmas, as well as if people asked what she wanted for gifts, I would suggest something from her list. DD also wanted an iron and a small ironing board. She is "very" particular about how her clothes look! She also went pretty stocked with things like bleach wipes for cleaning.
And - the one thing that someone suggested to DD - was to get "rain boots". DD actually wore out a pair already - and we got her a much nicer pair when we were visiting last month. At her university - water doesn't drain, so there are little lakes "everywhere" on campus. As the snow is melting, it is really a problem.
The other thing I would recommend - have a specific plan regarding finances. Be very clear on what expenses you will cover, and what expenses you expect them to cover. We are covering the basics, i.e. tuition, room and board, books and supplies. We expect that she cover all sorority expenses as well as her entertainment. We are also covering her car expenses, insurance and cell phone.