Today I was looking into saving a clip from Soundcloud and decided to fire up my trusty Chrome inspector and had a look under resources; there wasn't anything listed so I checked to see if anything was being streamed to the client (browser), and surely enough there was!
I chose the Copy as cURL option and ran it in terminal piping the output into an appropriately named file with .mp3 extension... and voila!
Absolutely fantastic! Let me know what you think :)