Electrical moisture meters can detect damp before it is obviously visible and they have the advantage of being non-destructive. They measure the conductance of electicity from a battery between the two metal prongs. However they are calibrated to detect the moisture content of timber, not masonry, so their readings are purely qualitative. They tell you where there is moisture, but not how much or what is the cause.
They need to be used with care and ideally just to plot moisture profiles which will aid the specialist surveyor in his diagnosis. Anything metallic in the wall behind - eg aluminium foil on the back of plasterboard or in wallpaper - will give a false reading.
With the dampness described it rather depends on its position in the wall and how far it extends. If low down just above the skirting, it could be a case of the plaster being bridged locally which is allowing moisture in the wall to circumvent the dpc. Alternatively it might be a case of condensation.