I'm going to assume a couple of things while answering. Feel free to point out which of them is unwarranted.
1. You won't write the code (ref. hiring developers)
2. Webapp software, not desktop
3. You have time or developer constraints (basic economic choices to make)
If the industry does not need "innovation" that does not mean that the software itself will not be fairly complex. For example, a simple undo feature can be a complex thing to implement, regardless of how fossilized the industry the software is being written for is. Building software that scales, and especially software that contains lots of social linkages is a complex problem.
Risks are ever-present and must be balanced. You should consider:
A) Time to write the software
B) Hiring new developers
C) Buyout risk
D) Platform risk
E) Social risk.
IMHO, and speaking as a Clojure developer in a startup that uses it almost exclusively:
A) Platform risk is negligible. As someone who has done plenty of Common Lisp programming, I can confidently assert that the Clojure platform is way more accessible, and moving faster. It's the JVM after all.
B) Hiring: plenty of new blood. Apparently at ITA, it was quite easy to onboard newbies to Common Lisp. IMHO Clojure is easier. It even has fewer parens than idiomatic, equivalent Java.
C) Time: I believe time is highly correlated with LOC. Clojure clocks in with the lowest LOC, most elegant solutions I have yet seen. Haskell is no doubt similar, though it's sweet spot / domain is likely different.
D) Buyout risk: I believe perceptions will change. Several large companies are now Scala shops. They're like the early adopters who bought into 8088 PCs. The Mac-like era of Clojure is yet to come. We've already seen one or two buyouts of Clojure shops.
E) Social risk: lots and lots of new libraries, access to all the old java libraries. Almost no risk here, imho.
Now, a lot of your risks may actually fall into the class of "good problems to have". While I cannot speak to Haskell or other languages as much, my feeling is that Clojure is a better bet in comparison.
Of course, if the use of niche languages is not your choice, you should ask your developers why they want to use it. They should be able to explain their reasoning.
Also, at least in the webapp domain, a lot of complexity arises from the interplay between webservers, javascript, backend code, hosting providers etc. Clojure has a lot of nice features here which help, but it's rather more the interplay which contains the complexity. IOW, this aspect of complexity is outside the domain of the backend language. Clojure has a secret weapon here too, clojurescript, but its implications are not yet well understood. It has a lot of potential though.
hth, and btw, if this is my boss trolling me, well, /me starts scheme-ing