A swiss insert includes a chip former arrangement. The chip former arrangement includes a ridge separated on each side from a cutting edge's sub-edge by a chip surface. In a side view, each sub-edge extends in a straight line.

A double-sided tangential cutting insert, having eight different working positions, includes two opposite end faces serving as leading and trailing faces of the cutting insert, two opposite major side faces, two opposite minor side faces, a through hole extending between the two major side faces, cutting edges distributed along a periphery of each end face, and four abutment surfaces arranged on each end face in a grid-like pattern with two first arrays, each of which have two consecutive abutment surfaces that extend between the two major side faces, and two second arrays, each of which have two consecutive abutment surfaces and extend between the two minor side faces. Each abutment surface are inclined inwards in the cutting insert such that each two consecutive abutment surfaces in each array are inclined towards each other.