A hair-clipping device includes a main body, a main hair-clipping unite supported by the main body, and additional hair-clipping unit having an active hair-clipping portion extending over a longitudinal dimension and being supported by a supporting unit. The supporting unit, at least in one predetermined working position of the active hair-clipping portion, extends only over a part of the longitudinal dimension. Thereby at least one free end portion of the active hair-clipping portion exists that can, for example, be easily inserted into the nose to remove nose hair.