  Stellar activity is ubiquitous in late-type stars. The special geometry of
eclipsing binary systems is particularly advantageous to study the stellar
surfaces and activity. We present a detailed study of the 145 d CoRoT light
curve of the short-period eclipsing binary CoRoT 105895502. By means of
light-curve modeling with Nightfall, we determine the orbital period, effective
temperature, Roche-lobe filling factors, mass ratio, and orbital inclination of
CoRoT 105895502 and analyze the temporal behavior of starspots in the system.
Our analysis shows one comparably short-lived (about 40 d) starspot, remaining
quasi-stationary in the binary frame, and one starspot showing prograde motion
at a rate of 2.3 deg per day, whose lifetime exceeds the duration of the
observation. In the CoRoT band, starspots account for as much as 0.6 % of the
quadrature flux of CoRoT 105895502, however we cannot attribute the spots to
individual binary components with certainty. Our findings can be explained by
differential rotation, asynchronous stellar rotation, or systematic spot
evolution.
