The present method comprises providing a flexible web substrate (e.g., polymeric flexible web substrates) that forms at least part of a component of a device, coating so as to wet-out on and cover all or a substantial portion of a major surface on one side or both sides of the flexible web substrate with flowable polymeric material, while the flexible web substrate is moving in a down-web direction, and solidifying the polymeric material so as to form one cleaning layer on the major surface of one side or both sides of the flexible web substrate. The present invention can be utilized in a continuous in-line manufacturing process. In applications of the present invention where the flexible web substrate will not form a component of a device, the present invention broadly provides a method for cleaning particles from a flexible web of indefinite length. Each cleaning layer forms a substantially adhesive bond to the major surface that is readily removable without damaging or leaving a substantial residue of cleaning layer material on the major surface. A substantial number of the particles that were on this major surface are captured by and removable with the cleaning layer.