************************************************************************* 73009 We propose a systematic monitoring of 4U0142+61, the brightest member of the small class of Anomalous (or 6-sec) X-ray Pulsars. To accurately assess its variability properties, on timescales from several hours to a few days, a set of directly comparable observations obtained with the same instrument and analyzed in a consistent way is necessary. Detection of variability (and possibly related Pdot changes), or strong upper limits, would provide crucial information to discriminate between accretion based models and other mechanisms recently proposed to explain the X-ray emission from AXP, like, e.g., magnetic field decay and/or internal cooling of isolated neutron stars. The imaging capabilities of ASCA are required to avoid contamination from a nearby variable source. *************************************************************************