A size is applied to a moving strand (14). A collet (22) is rotated to wind the strand (14) and build a package (19). The strand (14) is reciprocated with a strand reciprocator (30) to lay the strand (14) in a pattern on the package surface (20) as the package (19) rotates. The strand reciprocator (30) is lubricated with a lubricant which is compatible with the size. An apparatus is also provided for winding the fiber strand (14) to build and form a cylindrical strand package (19) of wound strand having a radially outer surface (20) with first and second edges (a) and a central portion (20b) therebetween. A strand reciprocator (30) is mounted to guide the strand from edge to edge of the package and to lay the strand in a helical pattern on the package surface (20) as the package (19) rotates. A lubricator (70) for atomizing a lubricant creates a fog of small airborne lubrication particles. Lubrication locations include the cam (32) surface and the grooves (34) provided thereon, the cam (32) bearings and the roller bail bearings. A roller bail (42) is mounted for contacting the package surface (20) as the package (19) is being built for holding the strand (14) in place on the package (19). The roller bail (42) is divided into separate rollers (46) with each roller (46) contacting the package surface (20) at one of the edges (a) and not contacting the central portion (20b).