In Android Studio 0.8.3+:
Studio 0.8.3 does not work properly on Linux with the "Awesome WM" window manager version 3.4. It's supposed to work with 3.5.
On Windows, files that are in use by a process cannot be deleted.
When you attempt to use the builtin update mechanism in the IDE, it sometimes refuses to install the update, usually providing an error message like "Can't delete C:\some\path\file".
To work around this, open the task manager and attempt to kill processes that may be using the file, such as any gradle daemons.
Google Play Services 5.0.77
If your builds suddenly stop working with this error message:
Error: Failed to find: com.google.android.gms:play-services:5.0.77
this is caused by the play services artifact being removed from the local Google Maven repository because it contained some critical bugs. It was been replaced by version 5.0.89 instead. (More information)
(This issue is fixed in Android Studio 0.8.6)
A new version of the Google Play Services library was released recently: 5.2.08. If you are using an older version of the library, Android Studio will automatically offer to upgrade it to the new version. However, due to a bug, it drops the leading zero in "08", which means it replaces the dependency with "5.2.8" instead of "5.2.08" which does not work. To fix this, edit the dependency to read "5.2.08" instead of "5.2.8". (More information).