Libyan Spider, LLC the company that provides LY domain registration has picked a logo from a contest they held at 99designs.com.
The requirements for the logo where described as following:
We are looking for a symbol to represent our company along side the logo we already have (attached).
The symbol will be used in small spaces where it’s difficult to use the whole logo e.g. favicon
The website is using the new logo as favicon now.
Adobe is using adobe.ly for short urls, not sure when they started to use it, but there are many URLs with adobe.ly in their website and the Internet, some of them here:
Adobe wise.ly picked adobe.ly domain for URL shortening, it is short and attractive. Many companies uses ly domains for URL shortening, and you should do 
Portal for jobs in Libya.
a site where anyone can post resumes and search for jobs in minutes! It’s the perfect place for hiring companies to post their profiles and employment opportunities for qualified candidates to see.
This site is divided into jobseekers and companies. Jobseekers, you can post your resumes and CVs by:
When it comes to selecting a domain name, you should not settle. Choose from the selection of already registered premium .ly domains. Premium Domain Names are short, memorable domain names
Domains.ly is an easy way to advertise your domain and attract customers if you’re interested in selling your domain, our program is very simple, click here to read more.
This tool search domain hacks that end in ly the ccTLD Libya, It will help you searching for short meaningful domain names that end up with “ly” by making sub-domains and checking their availability.