I noticed when completing a capture template that the point suddenly jumped back to the left of a hyperlink on the same line. It seems to only happen when there's a hyperlink on the line, and only within a header. I debugged org-self-insert-command and traced through to org-move-to-column, where I saw the point arrive at its final resting place for org-self-insert-command:

+=== backtrace:
Debugger entered--returning value: 25
  move-to-column(25 t)
* org-move-to-column(25 t)
* org-align-tags-here(-77)
* #[nil "\301 f\302\232\205^P^@\303 \205^P^@\304^H!\207" [org-tags-column point-at-bol 42 org-at-heading-p org-align-tags-here] 2]()
* funcall(#[nil "\301 f\302\232\205^P^@\303 \205^P^@\304^H!\207" [org-tags-column point-at-bol 42 org-at-heading-p org-align-tags-here] 2])
* org-fix-tags-on-the-fly()
  org-self-insert-command(1)
  call-interactively(org-self-insert-command nil nil)
===+

I have org-mode installed from source rather than ELPA or my OS package manager (portage), so I was able to trace through releases and home-in on this behavior's emergence in 8.1 <http://orgmode.org/w/?p=org-mode.git;a=log;h=release_8.1>

I also tried `emacs -Q -l /path/to/minimal-org.el` with the latest version (8.2.1-45-g92f89e), but experienced the same results.

Thank you for all your work on a vital member of my software family, and let me know if I can improve my report in any way.

Best regards,
Reuben Garrett

+=== (org-submit-bug-report):
Emacs  : GNU Emacs 24.3.1 (x86_64-pc-linux-gnu, GTK+ Version 3.4.4)
 of 2013-07-26 on rgarrett
Package: Org-mode version 8.2.1 (release_8.2.1-45-g92f89e @ /home/rgarrett/src/org/orgmode/org-mode/lisp/)

current state:
==============
(setq
 org-tab-first-hook '(org-hide-block-toggle-maybe
              org-src-native-tab-command-maybe
              org-babel-hide-result-toggle-maybe
              org-babel-header-arg-expand)
 org-speed-command-hook '(org-speed-command-default-hook
              org-babel-speed-command-hook)
 org-occur-hook '(org-first-headline-recenter)
 org-metaup-hook '(org-babel-load-in-session-maybe)
 org-confirm-shell-link-function 'yes-or-no-p
 org-after-todo-state-change-hook '(org-clock-out-if-current)
 org-src-mode-hook '(org-src-babel-configure-edit-buffer
             org-src-mode-configure-edit-buffer)
 org-agenda-before-write-hook '(org-agenda-add-entry-text)
 org-babel-pre-tangle-hook '(save-buffer)
 org-mode-hook '(#[nil "\300\301\302\303\304$\207"
           [org-add-hook change-major-mode-hook org-show-block-all
            append local]
           5]
         #[nil "\300\301\302\303\304$\207"
           [org-add-hook change-major-mode-hook
            org-babel-show-result-all append local]
           5]
         org-babel-result-hide-spec org-babel-hide-all-hashes)
 org-ctrl-c-ctrl-c-hook '(org-babel-hash-at-point
              org-babel-execute-safely-maybe)
 org-cycle-hook '(org-cycle-hide-archived-subtrees org-cycle-hide-drawers
          org-cycle-hide-inline-tasks org-cycle-show-empty-lines
          org-optimize-window-after-visibility-change)
 org-confirm-elisp-link-function 'yes-or-no-p
 org-metadown-hook '(org-babel-pop-to-session-maybe)
 org-clock-out-hook '(org-clock-remove-empty-clock-drawer)
 )
===+