Airbus SOP's suggest a rolling takeoff when possible. I guess the other thing about this is that at airports where runway occupancy time is a factor, it would be always preferable to do a rolling takeoff to keep occupancy time at a minimum to help ATC, even when you are not given "cleared immediate takeoff". We have all been given a standard "cleared for takeoff" when there is traffic at 4 miles. Perfectly OK as regards separation, but why reduce the spacing by stopping??
Our company SOP's across all fleets, and I would imagine in most other airlines as well is not to accept a line-up or take off clearance unless you can taxy on and do just that without stopping.
Hope this helps