If you gain nothing from livecoding, then no, Common Lisp's pros are not going to be compelling.
If you gain something significant from livecoding, then Common Lisp offers a good deal more than just quick turnaround time. I listed some of what it offers in another comment here.
If you gain something significant from livecoding, then Common Lisp offers a good deal more than just quick turnaround time. I listed some of what it offers in another comment here.