The latest flare-up came Thursday when Draymond Green wore a T-shirt to the Warriors' championship parade mocking the Cavs for only going five games with the Warriors in the Finals before succumbing 4-1.
The T-shirt took the logo for Quicken Loans -- Cavs owner Dan Gilbert's company and the title sponsor for the Cavs' home arena -- and changed the text to "Quickie" and also featured the Larry O'Brien Trophy.
"The Q, that's what's those guys' arena is called, and we got them out of here quick with the trophy," Green explained to NBC Sports Bay Area. "Quickie."
Green said the T-shirt was his idea, but that Warriors director of coaching Nick U'Ren was the man responsible for the execution.
"We actually got them made in Cleveland. How about that?" Green said.
It did not take LeBron James long to respond on Instagram:
After lifting his self-imposed social media blackout now that the postseason is over, James was very active on his Instagram account the past couple of days, showing off a freshly shorn haircut in a video he posted of himself listening to music while working out in his gym.
James' hairline gave Green ammunition to fire back once again on his own Instagram account:
If you thought you'd heard the last from the Warriors and Cavs now that the "threematch" has been settled, think again.
Even Warriors coach Steve Kerr took note of Green's shirt. During the Warriors' parade on Thursday, Kerr pointed out "Sometimes I get tired of doing the humble thing, I want to be more like Draymond. Look at his shirt, I love Draymond."
At a rally after the parade, Green mocked James' contention that he had never played for a superteam.
"You talk about superteams this, superteam that. 'I never played on a super team.' You started the superteam bro!"
James teamed up with All Stars Dwyane Wade and Chris Bosh on the Miami Heat to win his first championship in 2012. Critics have called the Warriors a superteam with the addition of Kevin Durant last year.
The Associated Press contributed to this report.