The current roshei yeshiva of Gush have passed their collective 150th birthday, and in preparation for their retirement, the yeshiva has already chosen several successors.
Like most of us who haven't (yet) studied at Gush, I'm less familiar with R' Gigi and R' Medan than with the current roshei yeshiva. Thus, I was happy to see an interview with R' Gigi in the religious Zionist De'ot journal.
He was very diplomatic and didn't say anything revolutionary. But it seemed to me that he was a bit more liberal than the current consensus at Gush. Which is eminently reasonable, seeing that R' Medan apparently leans to the conservative side. (Admittedly, those are gross generalizations.)
A partial translation is available here. (This is also where I found out about the interview.)