Earlier quoted context omitted.
I'll take a stab at this glib comment: 1. You've inherited an application written in Common Lisp 2. Common Lisp has features you find desirable that aren't available in another system 3. You like Common Lisp 4. Common Lisp helps you get the thing you're trying to do, done
1. Because I was forced to? That's not why I'd want to. 2. Examples? 3. Fair enough. Though AlexCoventry's question probably shows that he does not (currently) like Common Lisp, so this answer doesn't give him a reason. 4. Sure, that's true for every language and tool. Choose it when it helps you, don't when it doesn't. But why would CL help me more than another language?
You might find it pleasant. Who knows? Maybe you're a professional and you'd want to understand CL so that you can embrace and extend the system you've inherited.
> Examples?
Conditions and restarts. Incremental compilation. CLOS. Numerics.
> 4. Sure, that's true for every language and tool. Choose it when it helps you, don't when it doesn't. But why would CL help me more than another language?
CL is more like a system than a compile-and-run language. The compiler, debugger, standard library, and platform libraries all live in the image. You build the program as you go, incrementally, and can inspect it while it is running.
An error doesn't halt the entire process... instead condition handlers can either choose a restart (including asking the user what to do) and the execution continues. That's where you can attach to a remote image running on a server, notice that there's an error with a particular request, inspect the entire stack, fix the problem, and continue the request. No need to crash or anything like that. If a more hands-off approach is necessary then a handler can be written to choose an appropriate restart.
CLOS is great. You can change the class definition in a running image and the instances will incrementally update without recompiling and restarting the program (and rebuilding all of that state).
You can develop the language you need with these tools instead of using the language you've chosen (or inherited). Need an interactive prover? Try ACL2. Experimenting with sequent calculus? Want a language built around recursive fractals?