Consider the following code:
(if-let [x (a-function)]
(do-something-with x) ;; (a-function) returned a truthy result
(do-something-else) ;; (a-function) returned nil or false
This is like let, in that x will be bound to the return value of (a-function). This function could return nil or false. In that case, the implicit test fails and (do-something-else) will be evaluated. If x is not nil and not false, (do-something-with x) will be evaluated.
A scenario where this could be useful:
(if-let [user (find-logged-in-user)]
(do something with logged in user) ;; a user was found
(redirect to login page) ;; no user was found
I sometimes use something like the following, to conditionally add keys to a map of options:
(apply merge {:username "joe"
:email "[email protected]"}
(when-let [name (find-full-name)] {:name name})
(when-let [dob (find-date-of-birth)] {:dob dob}))
This results in a map with :username and :email keys, and a :name key if the users' full name was found, plus a :dob key if a date of birth was found.
I hope that makes the use of if-let and when-let clearer.