A brief point that's come up from my trying to help out Rebecca with the Link List in her new blog:
When creating a Link List, make sure you enable both the links you add and the list itself, or the list will not display. To check if your Link List is enabled, go into Manage Content>Link Lists>Edit List.
The popup window you will see (above) will have a checkbox "Enabled". Make sure this box is checked if you want your List to display.
It's worth bearing in mind also that if you're making changes to your blog's configuration, it is sometimes not instantaeneous. Wait for up to 15 minutes for a change to take effect and make sure you Refresh your browser window to view the changes.