The Bajan star seemingly took influence from the DC comics villain in a black dress accessoried with furry green coat, matching thigh-high boots and acid-green sunglasses - in fact, she looked more than a little like The Riddler.
Performing in front of a helicopter and black-clad dancers, the infectious trap-style track is set to appear on her as-yet-untitled eighth studio album and is co-produced by Kanye West.
Watch the performance below
The inspiration for the song title comes from cult blaxploitation parody 'I’m Gonna Git You Sucka'.
Rihanna has reportedly been in the studio working with DJ Mustard, Ester Dean, and Ne-Yo, among others on the follow-up to 2012's Apologetic.