Have you tried Right-Clicking?
Personally I never use the Starter. Instead, I simply avoid that layer and open the desired application directly.
Helpful and Handy Links
Yes, but that doesn't work. You know what...In tinkering with the menu options, I've discovered there is a way to do it on from the Tools menu. I guess I've answered my own question! My apologies for the false alarm.
Tools > Options > General Tab >Most Recently Used Project (section) > Delete button