Recs.
Updated
SpecsUpdate
Pros
Pro Uses the fantastic Lua for scripting
Lua is an embeddable scripting language designed to be lightweight, fast yet powerful. It is used in major titles such as Civilization as well as a lot of indie games.
Lua is very popular because it provides "meta language" features. You can implement object-oriented structures, or pure procedural functions, etc. It has a very simple C interface, and gives the engine developer a lot of flexibility in the language itself.
Artists tend to love Lua too because it's very approachable, with plain and forgiving syntax.
Lua is free open-source software, distributed under a very liberal license (the well-known MIT license).
Pro Active and very friendly community
The LÖVE forums are extremely helpful. With people checking the forums every day, it won't take long to receive answer to your questions on the Support board, receive feedback on games you post in the Projects board, as well as have a chat about the LÖVE engine while learning tricks to use in the very active General board.
If you need an immediate answer though, or just want to chat, there is a very active and helpful IRC channel.
Pro Open source and free
The LÖVE engine is licensed under The zlib/libpng License (which is very short and human readable) which allows you to use the source code and even modify it as long as you do not claim that the original source code is yours.
You can obtain the code at this bitbucket repository and even help fix bugs and participate in the development of LÖVE.
Pro Easy to learn and use
LÖVE is great for rapid prototyping, because it uses Lua as the language, and it's very easy to learn, and you can start and finish development in a short time frame. You can even see your changes live. It only requires three simple llines to get a "Hello world" in a graphical window running.
Cons
Con Absolutely no GUI (no graphical interface)
This has no graphical interface at all, you have to know how to read script in order to know what you're looking at. After you've written the script for everything, you compile it to see the result. It's a very poor way to create a game, given how even most professional tools out there give you a GUI to work with and debug on the go. The lack of a GUI slows down the work by ten-fold, and it's just an inefficient use of your time.