A hair-clipping device comprises a stationary cutter member (2; 52; 102; 152; 202; 252; 302; 352), at least one movable cutter member (7; 57; 407; 457), and a drive (9, 14, 15; 465) coupled to the movable cutter member (7; 57; 407; 457) for driving movement of the movable cutter member (7; 57; 407; 457). The stationary cutter member (2; 52; 102; 152; 202; 252; 302; 352) has an outer surface (3; 53; 103), a chamber (4) bounded by an inner surface (5) and at least one hair-catching opening (6; 56; 406) extending from the outer surface (3; 53; 103) to the inner surface (5). The movable cutter member (7; 57; 407; 457) comprises at least one cutting edge (8), fits in the chamber (4) with a free, close fit and includes a continuous carrier (15; 465) oriented in longitudinal direction of the movable cutter member (7; 57; 407; 457). The cutting edges (8) are provided on cutters (16) projecting radially from the carrier (15; 465). A set of cutter members for such a hair-clipping device is also described.