Cut any large, ragged splinters off the wood using a small saw or sharp knife. If there are only a few splinters, you can break them off.
Sand the splintered area smooth using 60-grit sandpaper. If the project needs a smooth surface, continue sanding with finer and finer grades of sandpaper until you reach 220-grit. This is important if the splintered area is on a surface that is used frequently, such as a desk.
Fill the area with wood putty using a putty knife. Let the putty dry according to package instructions or overnight.
Sand the wood putty smooth with 100-grit sandpaper. Dust with a tack cloth.