Here's an example of an LLL.in domain being used by an end-user:

QCN.in - Qube Cinema Network

I can't think of too many companies or brand names that start with the letter Q.

I assume LLLs with the letter Q are some of the last LLLs to be registered? For example, in June 2009, there were still a lot of available LLLs with the letter Q in them.