This suggestion was shared by @evangelia-mitsopoulou in our EUI slack channel:

I noticed in most cloud tables, the names are not truncated and are occupying a lot of vertical space on resizing. I think if we add a multi-line ellipsis utility class would be beneficial not only for my "specific flyout" but for most tables in wider contexts as well. Our views will look tidy and the information compact

So we should consider enhance our euiTextTruncate functionality to support multi-line text truncation.

Here's an article that shows how we can support this:
https://css-tricks.com/line-clampin/