Abstract: In a gripper weaving loom which weaves several different types of weft threads into a fabric, it is desirable to keep weft material waste to a minimum. For this purpose a weft thread (7) already inserted into the loom shed is simultaneously held by a weft presenting clamp (13) and by a holding clamp (18). As soon as the weft is held by both clamps the weft is cut by a cutter (20) effective between the two clamps to form a trailing weft end (7B) of the already inserted weft and a leading weft end (7A) of a weft yet to be inserted. The holding clamp (18) keeps holding the trailing end (7B) until beat-up of the weft by the reed (4) is completed. For this purpose, the holding clamp (18) moves with the reed (4) into the beat-up position. When beat-up is completed the holding clamp (18) releases the trailing weft end (7B) and returns into a weft receiving position (22B). The weft presenting clamp (13) still holds the leading end (12A).