I had the same idea to write my CV in Latex, but then realized it's not such a great idea. I wanted to keep it down to 2 pages, so I ended up having to do a lot of manual formatting (font size, margins, spacing), and the whole point of Latex is that you're supposed to let the typesetter do the formatting for you. So I switched back to Libreoffice.

But if I had a long-form CV, ie. an academic-style CV where you list all publications, conference talks, etc. with no regard to length, then Latex would be ideal for that.