The present invention concerns a glazing (1) and, in particular, a vehicle glazing, comprising a window (2), the glazing (1) comprising, along at least a portion of at least one edge, a profiled bead(6) comprising a groove (60) for clipping on a cover part (7) on the profiled bead (6), the cover part (7) comprising, viewed in cross-section, a harpoon (70) penetrating into said groove (60) duringthe clipping on, characterised in that when the harpoon (70) is situated in the groove (60), the cover part (7) also comprises a part, more to the outside than the harpoon (70) and outside of said groove (60), a base (72) situated both facing and spaced apart from at least one portion of the rim (21) of the window (2) and at least one portion of said rim (21') of the adjacent window (2') and also,further to the outside than said base (72), a flexible outer coating (73), situated both facing at least a portion of said rim (21) of the window (2) and at least one portion of said rim (21') of said adjacent window (2'), said outer coating (73) having a Shore A hardness in the range between 45 and 90, or even between 55 and 85.