Kimmel made the same gesture when Colbert's predecessor, David Letterman, said goodbye to "The Late Show" in 2015. Jimmy Kimmel is giving his buddy Stephen Colbert more of the spotlight when he says goodbye to “ The Late Show ” next week. Kimmel will not produce a new episode for May 21, “out of deference to Colbert’s sendoff” and will instead let a rerun take over his 11:35 p.m. ET time slot on ABC, LateNighter reported on Monday . Kimmel made the same gesture in 2015 when he didn’t drop a new