When Jesse Lége says it’s about time, you better believe it. It’s been 15 years since the powerhouse Cajun accordionist’s last Jazz Fest and third overall in a career spanning 57 years.

“I've wanted to get in there again,” Lége said. “I played it a couple of times, but both under another hire.” He estimates that the last time he played Jazz Fest was in 2010 with The Cajun Country Revival with Caleb Klauder a...