  Many gamma-ray bursts are followed by periods of extended emission. At least
in some cases, the burst afterglow may be powered by a rapidly rotating,
highly-magnetised neutron star, which spins down due to electromagnetic and
gravitational wave emission. Such a remnant is likely to strongly precess in
the early stages of its life, which would lead to modulations in the X-ray
luminosity as the triaxiality of the system evolves over time. Using a
radiation profile appropriate for a precessing, oblique rotator, we find that
Swift-XRT data of a long (080602) and a short (090510) burst matches the model
with significantly higher accuracy (mean-square residuals dropping by $\gtrsim
200 \%$ in the early stages of the extended emission) than for an orthogonal
rotator. We interpret this as evidence for precession in newborn magnetars.
