Cutting apparatus, comprising: - a housing having an outlet from which a user can receive a strip of material; - a supplying path that is at least partially arranged in said housing, along which the strip advances to said outlet; - a stationary blade arranged for cutting the strip along said path upstream of said outlet, said stationary blade having a cutting edge extending transversely to an advancing direction of the strip; - supplying means for supplying the strip intermittently along said supplying path until an end thereof is made to exit said outlet, said supplying means being arranged along said path upstream of said stationary blade in such a manner as not to tension the strip downstream of said stationary blade, cutting of the strip being caused by the user who tensions the strip by pulling an end of the strip exiting said outlet; - at least one movable element having a non-cutting edge that extends adjacently alongside said cutting edge and transversely to the advancing direction of the strip, said movable element having the possibility of adopting a protruding position, wherein at least one part of said non-cutting edge protrudes beyond said cutting edge, and a recessing position, wherein said at least one part of said non-cutting edge is recessing and/or flush compared with said cutting edge, said movable element being normally in said protruding position; wherein said movable element is pushed by the strip from said protruding position to said recessing position when the strip is tensioned by the user during cutting, said movable element returning elastically to said protruding position after the cutting of the strip to ensure that the margin of the strip that has just been cut is disengaged from said cutting edge wherein said non-cutting edge has a maximum protrusion zone that protrudes more than other zones of said non-cutting edge. - a housing having an outlet from which a user can receive a strip of material; - a supplying path that is at least partially arranged in said housing, along which the strip advances to said outlet; - a stationary blade arranged for cutting the strip along said path upstream of said outlet, said stationary blade having a cutting edge extending transversely to an advancing direction of the strip; - supplying means for supplying the strip intermittently along said supplying path until an end thereof is made to exit said outlet, said supplying means being arranged along said path upstream of said stationary blade in such a manner as not to tension the strip downstream of said stationary blade, cutting of the strip being caused by the user who tensions the strip by pulling an end of the strip exiting said outlet; - at least one movable element having a non-cutting edge that extends adjacently alongside said cutting edge and transversely to the advancing direction of the strip, said movable element having the possibility of adopting a protruding position, wherein at least one part of said non-cutting edge protrudes beyond said cutting edge, and a recessing position, wherein said at least one part of said non-cutting edge is recessing and/or flush compared with said cutting edge, said movable element being normally in said protruding position; wherein said movable element is pushed by the strip from said protruding position to said recessing position when the strip is tensioned by the user during cutting, said movable element returning elastically to said protruding position after the cutting of the strip to ensure that the margin of the strip that has just been cut is disengaged from said cutting edge wherein said non-cutting edge has a maximum protrusion zone that protrudes more than other zones of said non-cutting edge.