Have you tried the 'repeat' mode in the Cross Section tool? This would allow you to create automatically many slices of your object. And then select the right one, or even only make one slice visible, etc.
Otherwise you can already change the near clipping plane interactively (with ALT + mouse wheel). I'm not sure yet how to handle properly the far clipping plane (even though it shouldn't be too hard).
Daniel, CloudCompare admin