After updating to MacOS 10.12, I did a fink reinstall fink followed by a fink selfupdate. The latter failed, with this message:
$ fink selfupdate
Before changing your selfupdate method to 'git', you must install
the Xcode Command Line Tools package from
http://developer.apple.com (after free registration),
or via the Downloads tab of the Xcode Preferences.
Failed: Selfupdate method 'git' cannot be used
However, there is no longer a Downloads tab in Xcode.
Instead, the new mechanism is xcode-select --install (per http://railsapps.github.io/xcode-command-line-tools.html et al.)