When comparing Flowdock vs Discord, the Slant community recommends Flowdock for most people. In the question“What is the best team chat software?” Flowdock is ranked 4th while Discord is ranked 8th. The most important reason people chose Flowdock is:
An easy & simple interface to filter chat discussion into separate threads.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Threaded discussions
An easy & simple interface to filter chat discussion into separate threads.
Pro Drag and drop file sharing
Files can be dragged and dropped in to the flow dock screen for upload.
Pro Multi-platform
Browser Based, as well as:
- iPhone and iPad App
- Android App
- Mac OS X App
Pro Stored chat history
Content and discussions are stored forever.
Pro Smart pastes & code syntax highlighting
Pro Private chat option
Able to speak privately/talk head-to-head.
Pro Notification system
A specific user or everyone in the channel can be notified via @user or @everyone respectively.
Pro A full developer API
Flowdock API allows developers the freedom to create custom integrations.
Pro Create and assign PRs from Flowdock
You can interact with Github directly from Flowdock to create PRs.
Pro Free for teams of five, non-profits and students
Pro Data exports
Back up conversations and files fully at any time.
Pro Add Tools
On top of our 50+ custom integrations, easily integrate any tool that sends emails or generates RSS feeds, as well as having the option to build a custom integration with Flowdock's API
Pro Status updating
Allows co-workers to know what you’re up to "/status I'm busy today!"
Pro Google Apps Integration
Google Apps get a Flowdock link to the Apps tool-bar and won't have to separately manage users
Pro Typo Fix-ups
Pro Able to host users external to your team
When working with stakeholders (clients or partners) you can add organizations to manage internal privacy
Pro User friendly
Discord follows the same type of interface design popularised by Slack, which is extremely clean and attractive, and doesn't clutter the interface with unnecessary chrome and cruft.
Pro Free for unlimited users
Unlimited amount of users.
Pro Can be used in browser
Users can invite others to join a Discord channel via a web link, which means no installation is required to use the software - which is one of the big typical barriers to entry for social software.
Pro Good 1-click invite system
Discord allows inviting people to a specific channel with a link. Links can be set to expire. Low effort/passive invite mechanics.
Pro Easy setup
You can quickly send invites to people and they can join in using the web client without having to create an account or install the app.
Pro Has low-latency VoIP support
Pro Supports video and text communication
Behaves and looks like Slack for regular text channels, but with the ability to create voice channels as well
Pro Numerous controls for setting member roles.
Deny access, Deny write message, Allow read messages etc.
Pro Ability to create bots
Discord provides an API for creating custom bots.
Pro Open source bots and management tools
Discord has a wide variety of bots for things from airhorn noises to automated server management, to leveling systems for chat. The bot API is open and there are dedicated sites for finding bots.
Pro Game integration
Discord shows which game each user is currently playing, which among other things helps users to form PUGs with minimal hassle.
Pro Dark theme out of the box
Pro Familiar for Slack users
For those that are used to the way Slack (a similar chat client) works, Discord will be familiar in its use, which lowers the learning curve quite a bit for those that have switched or tried Slack before.
Pro Low effort invite mechanics
Pro Android app has push notifications
Pro Syntax highlighting and Markdown support
The support is limited but still exists. It's a killer feature for dev teams.
Pro DDoS mitigation
Discord prevents users from being DDoSed out of games.
Pro Targeting of roles
Targeting roles allows for quickly requesting someone from a group e.g. artist, moderator, etc.
Pro Ability to thread channels
Ability to create channel categories for channels to sit inside of.
Pro Friendly payment policy
Free account have no tangible restrictions.
Premium account is just a way to say "thank you" to developers. And it work for all servers of discord (not as in slack). And it can be purchased by one who wants. In contrast to Slask, where all active members of the server should be "premium".
Pro Language localization
Have localization for many language, including Russian.
Pro Does not allow NSFW related things to be posted unless in a NSFW channel
Cons
Con Proprietary (non-free/libre)
Con No self-hosting available
If you are worried about third-parties getting access to your data you should consider self-hosting. With self-hosting you are in control over where your data is stored, who has access to it. You will also not be vulnerable to exploits of a third-party provider.
Con Buggy android app
Google sign up didn't work, then after going to the website to do the sign up, the invite team members screen was broken.
Con Free only for small teams, non-profits or students
Unless it's used by a team of less than five people, a non-profit or students, Flowdock will cost $3/mo per person.
Con Proprietary software
Discord is closed-source, meaning their code isn't available for inspection or reproduction
Con Based on Electron = eats a lot of ram
Con Some functions cut out and available only with "Nitro" subscription
Con Developer's previous company was sued for privacy violations, among other things
See:
http://classactionlawsuitsinthenews.com/class-action-lawsuit-complaints/openfeint-green-international-privacy-class-action-lawsuit-complaint/
https://www.ftc.gov/enforcement/cases-proceedings/closing-letters/openfeint-inc
Discord's privacy policy also states that while they might not sell your data, a company they get sold to will quite possibly attain said data and thus may be in "more" shady hands.

Con No self-hosting avaliable
Discord is wholly hosted by Discord (the company), you cannot run private instances, and all servers are hosted on their infrastructure. For most people, this won't really impact their usage.
Con Not a generic "team chat" tool
All the UI and the features are aimed specifically at communicating with your gaming team/clan.
Con Very unstable on Linux
Con Anti-privacy license terms
Con Can change "Now Playing" status to something inappropriate
