From what I know Seoul Queen is famous for nose, not for lipo. I am sure that you could have a lipo procedure there, but I don't think you will find many reviews or information about it..
I had a friend who did lipo, and when she was looking for the hospitals, she said she found a lipo hopsital which was quite famous (from what she said) somewhere near Bangbae Station, but I don't know the name of the hospital though....