I am confused as to why you think Lisp and OOP are mutually exclusive. CLOS is the object system that all the other languages tried (and failed) to copy.
But anyway, I use CL for a few general-purpose web applications in production at work. One is a utility for uploading a file an emailing it to certain people; the other collects log data from other applications and lets me search through it. Both are heavily object oriented (and use elephant for persistence).
Using Lisp is not that different from using any other programming language, really. It has great tools (SLIME), and some really nice libraries (I love closure-xml with cxml-stp).
Finally, I will add one more "commercial" non-web app to the pile:
http://maxima.sourceforge.net/
It is a Computer Algebra System, somewhat like Mathematica.