Basically I want the *Messages* buffer to always scroll to the bottom when a new message arrives.
Can I do that?
Here's an amendment over Peter's / Trey's solutions
(defun modi/messages-auto-tail (&rest _)
"Make *Messages* buffer auto-scroll to the end after each message."
(let* ((buf-name "*Messages*")
;; Create *Messages* buffer if it does not exist
(buf (get-buffer-create buf-name)))
;; Activate this advice only if the point is _not_ in the *Messages* buffer
;; to begin with. This condition is required; otherwise you will not be
;; able to use `isearch' and other stuff within the *Messages* buffer as
;; the point will keep moving to the end of buffer :P
(when (not (string= buf-name (buffer-name)))
;; Go to the end of buffer in all *Messages* buffer windows that are
;; *live* (`get-buffer-window-list' returns a list of only live windows).
(dolist (win (get-buffer-window-list buf-name nil :all-frames))
(with-selected-window win
(goto-char (point-max))))
;; Go to the end of the *Messages* buffer even if it is not in one of
;; the live windows.
(with-current-buffer buf
(goto-char (point-max))))))
(advice-add 'message :after #'modi/messages-auto-tail)