Conversation so far:
Who were they in dispute over the time slot with?
The Jay Leno Show would be shortened to 30 minutes and begin airing weeknights at 11:35 pm ET, with Conan O'Brien and Jimmy Fallon's shows following.
what year did this happen?
In early January 2010.

Question: Did Leno mind the time slot change?
Self-contained rewrite: Did Jay Leno mind the time slot change?