Shared Meshes, do they auto-update?

Lets say I have a procedurally generated "chunk". I assign a mesh to this chunk GameObject, and keep a reference to the Mesh. When I make changes tot he mesh, will the GameObject reflect the changes? Or do i need to update the GameObjects mesh every time I change it?

I am assigning the mesh to MeshFilter.sharedMesh, and I am changing the mesh by calling Mesh.Clear() and then assigning the vertices, normals and triangles in that order.