[johtso]

Being pulled up onto the air is not abnormal when belaying, and is a sign that they are giving a soft catch. Granted with a belayer who is much lighter than the climber this can end up being "too soft", risking a ground fall lower on the route. Something you'll also often see is unclipping the first quickdraw to give the belayer more space to "fly".

[watwut]

Yeah, but proper technique is such that your natural instincts taking over for a moment don't cause trouble.