The pair has been trading insults for years, but their feud hit a new low over the past year, when Azealia publicly accused the white Australian of cultural appropriation and criticised her for failing to use her fame to voice her support for African-American issues like the Black Lives Matter movement.
The Fancy hitmaker, who also clashed with hip-hop heavyweights Snoop Dogg and Q-Tip over similar issues, revisited the conflicts in a new interview with Elle Canada, in which she admitted she would love to forget all about 2015.
"If I could, I would Men in Black memory-erase 2015, I totally would - that would be amazing!" she confessed of her desire to possess the same powers as the secret agents in Will Smith's sci-fi movie.
Iggy went on to state her rivalry with Azealia runs deeper than the allegations of cultural appropriation, because the stars really "don't like each other on a personal level".
However, dredging up old Twitter disputes in the press has only incensed Azealia more, and now she has taken aim at Iggy again.
"No one is talking about you so you choose to mention me...," the 212 star wrote.
"Wrong move h**... Mentioning me is the only thing that will get you attention. Because ur (sic) music and nose job are trash", she continued, slamming Iggy's plastic surgery.
She then declared, "I'm about to take my pettiness to a whole new level", before sharing a new track, titled Used To Being Alone. The tune samples Iggy's My World, and appears to be a snide reference to rumours suggesting the blonde reworked portions of Azealia's 212 hit for her new single, Azillion.
"How does it feel to treat me the way you do?" sings Azealia on Used To Being Alone.
Iggy has yet to respond to the taunting tweets.