...
-F The -F option implies the -f option, but tail will also check to
see if the file being followed has been renamed or rotated. The
file is closed and reopened when tail detects that the filename
being read from has a new inode number.
If the file being followed does not (yet) exist or if it is
removed, tail will keep looking and will display the file from
the beginning if and when it is created.
The -F option is the same as the -f option if reading from
standard input rather than a file.
...