We re-investigate UZ Libræ spectra obtained at KPNO in 1998 and 2000 .
From the 1998 data we compose 11 consecutive Doppler images using the Ca i -6439 , Fe i -6393 and Fe i -6411 lines .
Applying the method of average cross-correlation of contiguous Doppler images we find anti-solar differential rotation with a surface shear of \alpha \approx - 0.03 .
The pilot application of the local correlation tracking technique for the same data qualitatively confirms this result and indicates complex flow pattern on the stellar surface .
From the cross-correlation of the two available Doppler images in 2000 we also get anti-solar differential rotation but with a much weaker shear of \alpha \approx - 0.004 .