We have obtained high-time-resolution CCD photometry of four classical
T Tauri stars, and have conducted a search for rapid photometric vari
ability with these data. Any real variations on time-scales of tens of
minutes to hours are shown to be typically at most of order 0.01 mag
for all four variables. The lack of flickering on short time-scales is
used to place constraints on the lumpiness of the assumed accretion f
low in magnetically funnelled accretion models.