Exim 4.72 and earlier allows local users to gain privileges by leveraging the ability of the exim user account to specify an alternate configuration file with a directive that contains arbitrary commands, as demonstrated by the spool_directory directive.

transports/appendfile.c in Exim before 4.72, when MBX locking is enabled, allows local users to change permissions of arbitrary files or create arbitrary files, and cause a denial of service or possibly gain privileges, via a symlink attack on a lockfile in /tmp/.

transports/appendfile.c in Exim before 4.72, when a world-writable sticky-bit mail directory is used, does not verify the st_nlink field of mailbox files, which allows local users to cause a denial of service or possibly gain privileges by creating a hard link to another user's file.

Argument injection vulnerability in greylistclean.cron in sa-exim 4.2 allows remote attackers to delete arbitrary files via an email with a To field that contains a filename separated by whitespace, which is not quoted when greylistclean.cron provides the argument to the rm command.