Came across a very nice explanation on reddit the other day, see below. I like the project, I see the value but I should've sold while it was 0.20+. Now hodling on.
Since there aren't many terrific answers on here, I'll give it a go.
First, check out district's webpage and whitepaper. If you don't have a sound understanding of the project you probably won't really get a lot out of a conversation about why you should invest in the product.
In a nutshell, district is a framework that will allow users to create decentralized marketplaces or communities on the Etherium MainNet. It will let users, who otherwise have no technical skills, create applications on the blockchain. Think of it like Amazon. Amazon provides a platform on which users can build their own marketplaces to sell goods to you and I. Vendors choose to create a shop on Amazon instead of opening their own websites for a number of reasons ranging from cost to the technical nature of operating a webpage.
So why does this have to be decentralized you ask? The short answer is it doesn't, but Amazon and eBay don't have to be operated electronically either. Remember, Sears had quite a bit of success with their catalog business, supplying basically the same service that Amazon and eBay do. If you believe that the world is heading towards decentralized data management and information sharing then it only makes sense that this would be the logical progression for e-commerce.
Decentralization also carries with it the benefit of community ownership, which should, in theory, lead to a lower end cost for users. The white paper uses the example of Uber. Uber has, to an extent, disrupted the market for taxis by offering users a cheaper way to get from A to B as Uber doesn't have to deal with the same overhead that a taxi company does. We can go a step further, however, as Uber is still centralized. Users pay a portion of the money they earn by transporting individuals from A to B. If you were to completely decentralize the process then drivers wouldn't be paying the third party for the overhead involved in branding, operating servers, etc. It's the same idea with District; they want to offer a similar service to that of Amazon Marketplaces, without having to pay Amazon a portion of each sale.
The DNT token exists to give holders an opportunity to engage with communities they are passionate about. By staking their tokens in a district, users are given an opportunity to guide the direction of that community.
It's not a perfect solution on its own; rich users could really abuse their power and basically dictate the future of certain communities thereby eliminating the benefits of decentralization. This is where community bylaws and the Aragon governance system come in to play. The initial creator of a community is given a one-token stake in that district. This means that they can set the community bylaws which will then be enforced by Aragon. By setting bylaws users can ensure that the communities they have staked DNT in will grow in a way that benefits all members.
The token can also be used to vote on which districts will be constructed on the framework in the future.
The token itself is only as valuable if people see value in being able to participate in the markets or communities they are a part of. Will it ever be worth $50 a token? Probably not, but I could definitely see people paying a couple dollars per token to be able to participate.
That's the basic problem district is trying to solve, as for why it's mentioned on here so much... there was a lot of hype around the token's launch on Binance, people bought in high without ever really looking in to what the product did (I'm guilty of this). It seemed like a great way to make a quick buck. After the token didn't spike in price upon hitting Binance, people who never really understood what they were investing in began to sell triggering the mudslide you see now. People who have held their investment are now just trying desparately to get the price back up by shilling the coin on reddit, 4chan, etc.
I personally think that the coin has value long term though. It's a project that lets regular people access and build on the Etherium MainNet, that means that it's valuable to more than just crypto nerds. The coin has a relatively low marketcap given the service being offered and I honestly believe that it will pick up again once the last of the individuals who invested without knowing what they were getting into sells.
Sorry if this is long and rambly, I just kind of typed without really thinking to hard about structure, grammar, or formatting.