This section of the handbook seems to say that they must let you know why your application has taken longer than a total of 90 days.
(b) The department shall, not later than the 60th day after the date
of the receipt by the director's designee of the completed application
materials:
(3) notify the applicant in writing that the department is unable to
make a determination regarding the issuance or denial of a license to
the applicant within the 60-day period prescribed by this subsection
and include in that notification an explanation of the reason for the
inability and an estimation of the amount of time the department will
need to make the determination.