The only concerns I can think of are dev ops related, not code related. Even there I'm struggling to think of big blockers (might have to remove some deprecated JVM flags). The only things I can think of are extremely precise tuning of JVM parameters for one particular use case and then needing to double-check that your performance hasn't degraded based on that tuning.
EDIT: After seeing some responses I should clarify, especially because I wasn't all that clear in my initial question. The article is mainly talking about upgrading the JVM rather than upgrading your compiler. So just take all your class files and dump them into a new JVM rather than regenerating your class files from a new Java compiler. Has this caused substantial problems for people in the past?