The interview is with the podcast Floppy Days. Compute's Gazette was the king of the type-in program magazines, an entire industry that's gone now. James Nagle swooped in and grabbed the trademark when it expired, and is planning a general retro-computing magazine. He plans on reviving the Gazette, but not Compute itself.
I discovered recently that it was called Compute's Gazette as a reference to The PET Gazette, which was the homebrew magazine that was Compute's predecessor. When The PET Gazette diversified and started covering a variety of computers, there was still demand for a Commodore-specific publication. They seem to have tacked the "Gazette" onto it to refer to their origins as a Commodore-specific publication.
Didn't know the back story, thanks! I remember picking these up from time to time when I was learning to program.