Display sub-subcategories on subcatgory results page

When you click on a category you get the listings for that category and also it’s subcategories at the top that you can click on to go to the subcategory.
On the subcategory page though, you don’t get the sub-subcategories listed. By this I mean the subcategories (3rd level) within the subcategories (2nd level). I want the user to have the option to click on a sub-subcategory and go down to the next level and get more specific results.

Does anyone know if it’s possible to list the sub-subcategories on the subcategories listing page or has anyone found a way round it?

Any advice appreciated.