To insert a citation without the author or the year

1. Place your cursor where you want to add the citation.
2. In the Endnote tab click the 'Insert Citation' button.
3. Select the reference you want to add to your document.
4. Click the small black arrow beside 'insert' and select as required:

To remove an author or date from a citation already in the document

1. In word, highlight the citation you want to change.
2. Click on 'Edit and Manage Citations' in the EndNote tab. A box will appear like the one below.
3. Beside 'format', click on the arrow next to 'default' and from the drop down menu, select how you want your citation to display e.g 'Exclude Author', 'Exclude Year' etc. 

Below is a Cite While You Write (CWYW) editing citations overview, including how to exclude an author or a year. Please see the following timestamps to locate the information that you need within the video:
01:12:15 Cite While You Write - Insert Citation
01:16:55 Cite While You Write - Insert Selected Citation(s)
01:19:00 Cite While You Write - Configure Bibliography
01:21:25 Cite While You Write - Edit & Manage Citation(s)
01:23:58 Cite While You Write - removing an in-text citation