Thank you Christine
I'm happy sharing my experience here as well.
From my experience, anyone with an MA in English or Teaching or Applied Linguistics (or similar fields of study) has got a strong chance of getting an ESL job in a Libyan university. What's more, all state universities are currently very understaffed so it's a great time to apply. Experience is of course preferred but not always a requirement, the same for native speaker status. Many teachers are non native speakers, in that case your English will need to be excellent however.
As far as i know the best way to apply for a job is in person, then you'll need to be very patient. Even though a head of department approves you and backs up your application, the admin process in Libya is very very very slow. It can tale a whole year to get a teacher appointed. Having said that, if they really want you they have ways of bypassing the system and speed things up (it happened for us the first time we came to Libya).
Expat packages are very appealing, starting salary is pretty high and will allow anyone to live comfortably and even save quite a lot of money (especially if you're single, without a family to support).
The job in itself is very easy and you'll enjoy complete freedom, you can teach what and how you want, there is no or very little paperwork so it's perfect for newbies. On the other hand it may be a little frustrating to see very little progress or results at the end of a long term/year of teaching as the general level in Libya is very low.
Hope this helps, anyone is free to contact me for further details. You can also check my blogs with plenty details on work experience, contracts, regulations and expat packages... as well as daily life tips. Good luck everyone and welcome to Libya