A double-sided cutting insert for milling, comprising: a top side, a bottom side, a circumferential lateral surface, a first cutting edge which is formed at a transition from the top side to the circumferential lateral surface, a second cutting edge which is formed at a transition from the bottom side to the circumferential lateral surface, an axis of symmetry relative to which the cutting insert has a fourfold rotational symmetry, and a reference plane running perpendicularly to the axis of symmetry and dividing the cutting insert into two halves, wherein the first cutting edge and the second cutting edge each comprise: alternately arranged main cutters and face cutters, each extending between raised cutting corners and lowered cutting corners which are closer to the reference plane than the raised cutting corners, wherein the circumferential lateral surface has face clearance surfaces which each extend along the face cutter, wherein the circumferential lateral surface has main clearance surfaces which each extend along the main cutter and which become further away from the axis of symmetry as the distance from the associated main cutter increases characterized in that the face clearance surfaces become closer to the axis of symmetry as the distance from the associated face cutter increases. a top side, a bottom side, a circumferential lateral surface, a first cutting edge which is formed at a transition from the top side to the circumferential lateral surface, a second cutting edge which is formed at a transition from the bottom side to the circumferential lateral surface, an axis of symmetry relative to which the cutting insert has a fourfold rotational symmetry, and a reference plane running perpendicularly to the axis of symmetry and dividing the cutting insert into two halves, wherein the first cutting edge and the second cutting edge each comprise: alternately arranged main cutters and face cutters, each extending between raised cutting corners and lowered cutting corners which are closer to the reference plane than the raised cutting corners, wherein the circumferential lateral surface has face clearance surfaces which each extend along the face cutter, wherein the circumferential lateral surface has main clearance surfaces which each extend along the main cutter and which become further away from the axis of symmetry as the distance from the associated main cutter increases characterized in that the face clearance surfaces become closer to the axis of symmetry as the distance from the associated face cutter increases. alternately arranged main cutters and face cutters, each extending between raised cutting corners and lowered cutting corners which are closer to the reference plane than the raised cutting corners, wherein the circumferential lateral surface has face clearance surfaces which each extend along the face cutter, wherein the circumferential lateral surface has main clearance surfaces which each extend along the main cutter and which become further away from the axis of symmetry as the distance from the associated main cutter increases characterized in that the face clearance surfaces become closer to the axis of symmetry as the distance from the associated face cutter increases.