One trick to cutting cheesecake neatly is keeping the knife (a very sharp knife) in use clean and smooth. To do this, fill a tall container with hot tap water deep enough to cover the blade of your knife. If no container is available, hold the knife under hot tap water. Dip the knife into the hot water, then wipe it on a clean towel before making every cut. The constant dipping and cleaning will prevent chunks of cake from the previous slice from depositing on top of the next slice.

Some people prefer to cut cheesecake using unflavored dental floss. For a 10-inch cheesecake, cut off about 18 inches of unflavored dental floss, wrap the ends firmly around your fingers and press firmly through the cake and into the crust. Let go of one end of the floss and pull it through the cake at the bottom. Repeat.
 

 

Check out all of Linda's tips and hints on baking cheesecakes: Cheesecake Recipes Baking A Perfect Cheesecake  Baking Cheesecakes Ahead Of Time Cracks in Cheesecake Cutting Cheesecake How To Freeze Cheesecakes Traveling with Cheesecakes Springform Pans