No.  Supervisors get notification emails that there are pending time and leave requests for approval, as well as exceptions.  Timekeepers do not receive notification emails, however you have access to see pending exceptions and time requests in the Time and Labor WorkCenter or by running queries such as HIP_TL_APPROVAL_ERRORS, HIP_TL_HRLY_NOT_APPRV, HIP_TL_PAYABLE_TM_NOT_APPROVED, HIP_TL_SAVED_REPORTED_TIME.  NOTE: It is recommended to favorite helpful queries like these in your Query Viewer screen so you do not have to search for them each time you want to run them.
Click here for a list of available queries to Time and Leave Keepers.