Gosh I seem to be in the minority too OP. When we were driving back from dropping DD1 at Uni, I was absolutely bereft, sobbed for hours. Then cried for several days on and off every time I went in her room.
DD came back every so often, and we would both cry again when she left. This lasted well into second year. She texted every couple of days, and skyped on a Sunday. She had a full on course, did lots of extra stuff, and was fully involved in university life.
It didn't mean she wasn't independent, far from it. It didn't mean she couldn't cope. It just means we are very, very close.
She is now in London working, in a shared flat with uni friends, and extremely independent. But, she still phones every few days, texts often, and skyped her sister. She comes home every month or so, as do her friends, they work hard and play hard during the week, but then like to come home to re-charge at the weekends.