If only the cover of a magazine was used to write a paper, is there a need to cite it sepearately in the works cited page? If yes, how?

Yes, definitely. The magazine was a source for your paper.

I know how to cite the ARTICLE from a magazine, but I'm not sure how I would cite only the cover in MLA format. Could you help me?

If you can find the designer of the cover, put that first. If that's not listed in the fine print about editors, etc., then start with the title of the periodical and for pages, use Cover.

Author(s). "Title of Article." Title of Periodical Day Month Year: pages.

http://owl.english.purdue.edu/owl/resource/557/08/

I just checked the September 5 issue of Time and found this on page 1.

"On the cover: Photograph by Platon."

Yes, when writing a paper, if you use the cover of a magazine as a source of information or an image, it is important to cite it properly in the works cited page. Here's how you can cite the cover of a magazine:

1. Start by gathering the necessary information, including the author(s) of the cover (if available), the title of the cover (if given), the title of the magazine, the date of publication, and the page number(s) of the cover.

2. The basic format for citing a magazine cover in MLA style is as follows:

Last Name, First Name. "Title of Cover." Title of Magazine, Date of publication, page number(s).

For example:
Smith, John. "Summer Fashion." Vogue, 15 June 2022, pp. 20-21.

3. If the magazine cover doesn't provide specific page numbers, you can omit the page number portion from the citation.

4. Remember to italicize the title of the magazine as shown in the example above.

5. If the cover has multiple authors, list them in the order they appear, separated by commas.

6. If you are using a different citation style, such as APA or Chicago, the format and style may vary. Consult the appropriate style guide for the correct format.

By following these steps, you will be able to properly cite the magazine cover in your works cited page, giving credit to the original source.