After closing a deal valued at $750 million to acquire its rival ICM Partners last June, the pieces of Creative Artists Agency’s megamerger are shaking out for Hollywood’s representation landscape. In the latest move, an ICM-owned talent agency is now breaking away after making a buyout offer to the Century City-based giant.

Primary Talent International, the U.K.-based music agency founded in 1990 and acquired by ICM just before the shuttering of major events and productions in March 2020, is exiting CAA and reestablishing itself under independent ownership, the firm said March 6. Nearly 460 clients, including The 1975, The Cure, Lana Del Rey, Noel Gallagher, Ziggy Marley, Mitski and Patti Smith will be staying with the newly independent Primary and leaving the CAA fold.

Primary Talent had been run as an indie agency until it was snapped up by ICM with an eye toward bolstering ICM’s international touring business. That...