The last I checked various stats (GitHub Language stats, TIOBE, etc.), Rust wasn't even in the top 10. I'm sure its adoption is increasing. However, other languages like Go seem to be doing much better. Neither will replace C++ or C anytime soon.
C/C++ will be replaced incrementally and it’s already happening. Cloudflare recently replaced nginx with their own alternative written in Rust for example.
That's nice, but a couple of Rust rewrites are not proof of a general trend.
I've been working with C for over 30 years, both professionally and a hobbyist. I have experimented with Rust but not done anything professionally with it. My gut feel is Rust is too syntactically and conceptually complex to be a practical C replacement. C++ is also has language complexity issues, however it can be adopted piecemeal and applied to most existing C code.
> My gut feel is Rust is too syntactically and conceptually complex to be a practical C replacement.
That would depend on what you use C for. But I sure can imagine people complain that Rust gets in the way of their prototyping while their C code is filled with UB and friends.