A method of and apparatus for wrapping a strip of stretchable plastic cling film around work to be enwrapped (banded) wherein the leading end of the film is gripped at opposite sides by grippers, the grippers are disengaged from the strip and moved outwardly clear of the strip after one wrap has been completed and the strip has lapped itself for gripping itself to the work, and wherein the last wrap is held spaced away from the underlying portion of the strip for regripping of the strip, which is then cut to provide a finishing end and a new leading end of strip, the finishing end being secured to the underlying portion of the strip by being pressed against it for clinging thereto.