Since its production release 1.0, Rust has enjoyed quite a steady uptake. This is manifest if you view a Google Trends survey:
In the well-known TIOBE Index (see https://www.tiobe.com/tiobe-index//), it reached 50th place in September 2015 and is now ranked in 37th position.
In the RedMonk ranking of programming languages (see http://redmonk.com/sogrady/2017/06/08/language-rankings-6-17/), it is ready to join the popularity of Lua, CoffeeScript, and Go.
Also, for two consecutive years, Rust was the most loved programing language on Stack Overflow (see https://insights.stackoverflow.com/survey/2017#most-loved-dreaded-and-wanted).
As a hallmark of its success, today, more than 50 companies are using Rust in production, see https://www.rust-lang.org/en-US/friends.html, amongst which are HoneyPot, Tilde, Chef, npm, Canonical, Coursera, and Dropbox.