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The object looks fine to me in object mode but on edit mode i see this clippings through the object's box selection. It is supposed to look like that or is there an issue that i'm not noticing?
Nothing seems wrong here, it's just some z-fighting between your edit mesh and the subsurf mesh.
Z-fighting is when two faces (in this case, the edit mesh face and the subsurf faces) occupy the same space, so they "fight" over which one gets rendered first.
Required, but never shown