He also posted saying he had "no comment" on a rumour that Ariana Grande had ended her engagement to Davidson for allegedly sending intimate photos of the pair to her ex Mac Miller before his death in 2018.
And the rapper seemed particularly outraged that Davidson, who is in the process of lasering off his tattoos, once had his "hero" Hillary Clinton inked on his calf.
"When I tag people I'm just putting together the web. There are a group of people who run media and the election. Thank god for free speech," Kanye claimed.
"Look at this d***head. I wonder if Instagram gonna shut down my page for dissing [Hillary] Clinton's ex boyfriend."
West added that: "Y'all seen that tattoo but if I speak up then I'm crazy. I told you not going to use that one no more when a garbage man goes to work he gonna smell like trash but it's time to take the trash out the house ... You can Google the Hillary thing I'm not making this s*** up."
The rapper's 41-year-old ex Kim Kardashian began dating Davidson after she hosted Saturday Night Live in October last year.
Meanwhile, Kanye has been spending time with Uncut Gems star Julia Fox.
Kim amicably filed for divorce from her rapper husband last year after six years of marriage. The pair have four children together: daughter North, 8; son Saint, 6; daughter Chicago, 4; and son Psalm, 2.
