Comments from social media can be cited in the body of your text. For example:
In a recent tweet, Cornel West reminds us not to treat Martin Luther King as "an isolated icon on a pedestal to be viewed as some figure in a museum. Let us learn from him and from them all" (@CornelWest, January 15, 2018).
If a formal footnote citation is needed, use the following format:
Cornel West (@CornelWest), "King was a product of a black prophetic tradition," Twitter, January 15, 2018, 11:29 a.m ., https://twitter.com/CornelWest/status/952986142202216448
West, "King product of black prophetic tradition".
Generally social media posts are not included in a bibliography. A frequently cited account or extensive social media thread on a single subject can be included in the bibliography.
West, Cornel (@CornelWest). "King was a product of the black prophetic tradition" Twitter, January 15, 2018, 11:29 a.m ., https://twitter.com/CornelWest/status/952986142202216448.
For more information, see CMOS 17 14.209