The line is characterized by having an effective working length to diameter ratio, and of a material composition such as to render the line flexible and yielding to the extent that it is substantially incapable of causing damage or injury when impacting against persons, animals, trees, etc. Preferably, the effective working length to diameter ratio of the line is in the order of 49:1. Certain embodiments of the invention include means for detachably securing the line or lines to the body member so that the same may be replaced after wear or breakage resulting from impact of the line against fences, trees, walls, etc., as well as vegetation. Provision is also made within the body member for storing additional cutting line in the nonworking condition whereby the effective working length of the line or lines may be lengthened at desired times as the working length becomes shortened due to breakage or fraying during use thereof. Certain embodiments of the invention may have line storage means supported in the body member, which storage means are in the form of a spool which is locked from rotation, but which may be disengaged whereby additional line may be paid out to replace or replenish the effective working length of the cutting line when it becomes shortened during use. Another particularly significant feature is that the configuration of the cutting head is such as to prevent angular deformation or "kinking" of the cutting line, as will hereinafter be explained in detail.