For web projects, the benefits provided by Clojure on the backend side may not be very large; there are already good languages with extensive libraries available (Django, Rails, etc.). It arguably may seem hard to choose Clojure with its minimalistic libraries when these frameworks provide an "easy" [1] way to get running with a full-blown admin interface. Furthermore, backend code by itself tends to be dependency-heavy in the way that you need dependencies which you'll definitely not write yourself: You need a library to interface with your database, you need something for cryptography / passwords, etc.
Looking at the frontend (React) side however, things are different. The JavaScript ecosystem is a mess. From a viewpoint of a React developer, there are lots of libraries which vary widely in quality. react-router is an interesting example here, it had 4 (?) breaking changes so far by replacing the entire api. There's a ton of mental overhead for the normal React developer trying to write a "simple" app.
Ironically, developers start rolling their own stuff. Instead of using a form library which tightly couples your components to your redux state (redux-form), you start writing your own. Instead of coupling your entire views to graphql via apollo, you start doing it differently, your way.
This is where ClojureScript is a game changer. If your app differs just slightly from a (very) vanilla CRUD app and whipping some libraries together doesn't do the trick, you start writing custom stuff. When writing custom stuff, you want a programming language which is a) well thought through (great standard library, immutability, sane concurrency) b) predictable and c) productive. ClojureScript has all three while JS has none.
We (Merantix) are currently developing a medical image viewer in ClojureScript and had prototyped two separate versions: One in JS with React, another one in ClojureScript with reagent and re-frame. Even though it is dependency-heavy (webgl stuff), ClojureScript turned out to be the superior choice: Immutable data structure at its core which ironically perform better than Immutable.js and way higher developer productivity due to less random bugs and a more interactive development (REPL).
Using Clojure on the backend now seemed like an obvious choice: We can reuse and share code from the frontend and more importantly, all our developers are "full-stack" in the sense that everyone can at least understand what's going on "on the other side" (backend / frontend) of the stack as it's literally the same codebase.
The learning curve is significant but the advantages are tremendous. I wholeheartedly recommend learning Clojure even if you're not allowed to use it at your job. It sounds cliché, but it will make you a better programmer for sure.
[1] https://www.youtube.com/watch?v=rI8tNMsozo0 (to understand the meaning of "easy" above)