Haha. Single-click. 1-click-buy. The things you can claim rights to...utterly absurd.
A "merely descriptive" mark can't infringe another trademark, so "1-click" as a trademark is nearly impossible to enforce.
You could enforce it with additional restrictions, like color / size / font / layout, but the text "1-click" can freely be used to describe processes that require 1 click.