The weakness of SUID flag that associated with its use is setting the SUID flag for process or application that owned by root user can make security hole.
SUID flag is a set of owner user ID to give permission a bit flag to can be applied and executed. This will give user to execute something with same permission as the owner, or in other word the SUID flag will make the user to have owner permission rather than have the alternate user permission.
Root user is a highest user that have all permission and privileges to read and write all file in Linux or Unix base OS system. This is a special user.
So, make SUID flag for anything that associated to root user can make security hole because the user can access all file in system like root user.
You question is incomplete, but it is a general answer for SUID flag weaknesses.
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