Connection / environment access
One part of your system will be to manage the 'machinery' of your application: start the web server, connect do data stores, retrieve configuration, etc. Put this part in a namespace separate namespace from your business logic (your business logic namespaces should not know about this namespace!). As @superkondukr said, Component is a battle-tested and well-documented way to do this.
The recommended way to communicate the database connection (and other environmental dependencies for that matter) to your business logic is via function arguments, not global Vars. This will make everything more testable, REPL-friendly, and explicit as to who depends on whom.
So your business logic functions will receive the connection as an argument and pass it along to other functions. But where does the connection come from in the first place? The way I do it is to attach it to events/requests when they enter the system. For instance, when you start your HTTP server, you attach the connection to each HTTP request coming in.
Namespace organization:
In an OO language, the conventional support for data is instances of classes representing database entities; in order to provide an idiomatic OO interface, business logic is then defined as methods of these classes. As Eric Normand put it in a recent newsletter, you define your model's 'names' as classes, and 'verbs' as methods.
Because Clojure puts emphasis on plain data structures for conveying information, you don't really have these incentives. You can still organize your namespaces by entity to mimick this, but I actually don't think it's optimal. You should also account for the fact that Clojure namespaces, unlike classes in most OO languages, don't allow for circular references.
My strategy is: organize your namespaces by use case.
For example, imagine your domain model has Users and Posts. You may have a myapp.user namespace for Users CRUD and core business logic; similarly you may have a myapp.post namespace. Maybe in your app the Users can like Posts, in which case you'll manage this in a myapp.like namespace which requires both myapp.user and myapp.posts. Maybe your Users can be friends in your app, which you'll manage in a myapp.friendship namespace. Maybe you have a small backoffice app with data visualization about all this: you may put this in a myapp.aggregations namespace for example.