CIDER provides intelligent code completion for both source buffers (powered by
cider-mode) and REPL buffers.
Standard completion
Out-of-the box CIDER uses the standard Emacs tooling for code completion. When you press TAB or M-TAB you'll get completion candidates in a dedicated buffer.

Auto-completion
CIDER users are advised to use company-mode
to enable auto-completion inside of source code and REPL buffers. To install
company-mode do:
M-x package-install RET company RET
After installation, company can be turned on globally, like so --
(global-company-mode)
-- or through mode-specific hooks:
(add-hook 'cider-repl-mode-hook #'company-mode)
(add-hook 'cider-mode-hook #'company-mode)
When company-mode is thus enabled, it will receive completion information
from cider-complete-at-point, and requires no additional setup or plugins.
If you'd prefer to trigger completions manually you can add this to you config:
(setq company-idle-delay nil) ; never start completions automatically
(global-set-key (kbd "M-TAB") #'company-complete) ; use M-TAB, a.k.a. C-M-i, as manual trigger
To make TAB complete, without losing the ability to manually indent, you can add this to your config:
(global-set-key (kbd "TAB") #'company-indent-or-complete-common)
company-indent-or-complete-common is available only in company-mode 0.9+ (at
the time of this writing it's still in development).
Fuzzy candidate matching
By default company-mode will provide completion candidates with the assumption
that whatever you've typed so far (e.g. map-) is a completion prefix (meaning
you'd get only candidates that have map- in the beginnings of their names).
You can get enhanced fuzzy completion with company-mode if you install the
additional package company-flx.
This is powered internally by flx.
Basically with company-flx enabled typing something like mp will show you
map-indexed as one of the possible completion candidates.
Completion annotations
Completion candidates will be annotated by default with an abbreviation
corresponding to their type, and (contextually) their namespace. The function
used to format the annotation can be configured by
cider-annotate-completion-function. The abbreviations used are configured by
cider-completion-annotations-alist and the context in which their namespace is
included is configured by cider-completion-annotations-include-ns.
Completion annotations can be disabled by setting
cider-annotate-completion-candidates to nil.

Migrating from auto-complete-mode
In case you have some auto-complete-mode configuration lying around and you
want to switch to company-mode there are a few steps you have to take:
-
Disable
ac-cider-setuporac-nrepl-setupfrom running on CIDER hooks -
Remove
cider-modeandcider-repl-modefrom theac-modeslist