This is what I have in my B737-700 IGW FCOM Volume 1:
"A rolling takeoff is recommended for setting takeoff thrust. It
expedites takeoff and reduces risk of foreign object damage or
engine surge/stall due to a crosswind. The change in takeoff roll
due to the rolling takeoff procedure is negligible when compared to
a standing takeoff."
"Allowing the engines to stabilize for more than approximately 2
seconds prior to advancing thrust levers to takeoff thrust may
adversely affect rolling takeoff distance."
EW73