The invention relates to a sleeving device, a set of a mandrel and collector and a method for arranging a sleeve around a product, such as a container, wherein static charges on the sleeve are reduced. Foil is fed over a mandrel, is cut into sleeves, and ejected over containers. According to the invention static charge is removed from the sleeve's inner surface by collecting static charge in a collector arranged on the mandrel. The collector includes electrical filaments positioned along an inner circumference of the sleeve. The charge is discharged afterwards, e.g. using a spark gap, via a discharger mounted on the frame and connected to the earth.