I really feel that I should learn Lisp and there are plenty of good resources out there to help me do it.
I'm not put off by the complicated syntax, but where in "traditional commercial programming" would I find places it would make sense to use it instead of a procedural language.
Is there a commercial killer-app out there that's been written in Lisp ?
Learning lisp will put Javascript in a completely different light! Lisp really forces you to grasp both recursion and the whole "functions as first class objects"-paradigm. See Crockfords excellent article on Scheme vs Javascript. Javascript is perhaps the most important language around today, so understanding it better is immensely useful!
Lisp can be used anywhere you use traditional programming. It's not that different, it's just more powerful. Writing a web app? you can do it on Lisp, writing a desktop application? you can do it on Lisp, whatever, you can probably do it on Lisp, or Python, or any other generic programming (there are a few languages that are suited for only one task).
The biggest obstacle will probably be acceptance of your boss, your peers or your customers. That's something you will have to work with them. Choosing a pragmatic solution like Clojure that can leverage the current install base of Java infrastructure, from the JVM to the libraries, might help you. Also, if you have a Java program, you may do a plug-in architecture and write Clojure plug-ins for it and end up writing half your code in Clojure.
Not a reason but (trivial) AutoCAD has LISP & DCL runtime support. It is a convenient way to write complex macros (including ActiveX automation) if you don't want to use VBA or their C++ or .NET SDKs, or if a DIESEL expression doesn't cut it.
A lot of AutoCAD's functions are actually LISP routines.
Okay, I might be weird but I really don't like Paul Graham's essays that much & on Lisp is a really rough going book if you don't have some grasp of Common Lisp already. Instead, I'd say go for Siebel's Practical Common Lisp. As for "killer-apps", Common Lisp seems to find its place in niche shops, like ITA, so while there isn't an app synonymous with CL the way Rails is for Ruby there are places in industry that use it if you do a little digging.
Gimp's Script-Fu is lipsish. That's a photoshop-killer app.
"Lisp is worth learning for the profound enlightenment experience you will have when you finally get it; that experience will make you a better programmer for the rest of your days, even if you never actually use Lisp itself a lot."
--Eric S. Raymond, "How to Become a Hacker"
http://www.paulgraham.com/avg.html