Yes, there are many large companies which are either actively deploying Rust, or planning to. Easily found if you search.
* is my industry showing interest in it?
Yes: security, high reliability, availability and safety oriented industries. Any industry looking to get themselves out of the entrenchment of C/C++ but still needs at least one of the major reasons why it persists.
* is any industry showing interest?
I haven't found any industry, primarily focused on software development, which isn't interested. I've been actively poking around to see which way the wind is blowing. I honestly haven't come across any industry which would actively say "No we're good with C", other than those were software is an annoyance which they grudgingly have to be involved in.