The Connecticut General Statutes prescribe a rather strict timeline for the pistol permit process. This timeline is dictated by CGS 29-28a and CGS 29-29. The deadlines described in these statutes give your local issuing authority "5 days" from the date you submit your application with fingerprints until they must submit your fingerprints to the State Police Bureau of Identification (SPBI). Once your FBI report is received back from the SPBI, the local issuing authority has "one week" to issue an approval or denial.
The entire process is required to take no more than 8 weeks by statute.
Sec. 29-28a. Application for permit. Notice of decision to applicant. (a) Requests for temporary state permits under section 29-28 shall be submitted to the chief of police, or, where there is no chief of police, to the warden of the borough or the first selectman of the town, as the case may be, on application forms prescribed by the Commissioner of Public Safety. Upon written request by any person for a temporary state permit not on a prescribed application form, or upon request by any person for such application form, the local authority shall supply such forms. When any such request is made in person at the office of the local authority, the local authority shall supply such application form immediately. When any such request is made in any other manner, the local authority shall supply such application form not later than one week after receiving such request. If such application form is not supplied within the time limits required by this section, the request therefor shall constitute a sufficient application. If any local authority fails to supply an application form upon the request of any person, such person may request an application form from the Commissioner of Public Safety or any barracks of the Division of State Police, and the time limits and procedures set forth in this section for handling requests for such forms shall be applicable. (b) The local authority shall, not later than eight weeks after a sufficient application for a temporary state permit has been made, inform the applicant that such applicant's request for a temporary state permit has been approved or denied. The local authority shall forward a copy of the application indicating approval or denial of the temporary state permit to the Commissioner of Public Safety. If the local authority has denied the application for a temporary state permit, no state permit may be issued. The commissioner shall, not later than eight weeks after receiving an application indicating approval from the local authority, inform the applicant in writing that the applicant's application for a state permit has been approved or denied, or that the results of the national criminal history records check have not been received. If grounds for denial become known after a temporary state permit has been obtained, the temporary state permit shall be immediately revoked pursuant to section 29-32.
Sec. 29-29. Information concerning criminal records of applicants for permits. (a) No temporary state permit for carrying any pistol or revolver shall be issued under the provisions of section 29-28 unless the applicant for such permit gives to the local authority, upon its request, full information concerning the applicant's criminal record. The local authority shall require the applicant to submit to state and national criminal history records checks. The local authority shall take a full description of such applicant and make an investigation concerning the applicant's suitability to carry any such weapons. (b) The local authority shall take the fingerprints of such applicant or conduct any other method of positive identification required by the State Police Bureau of Identification or the Federal Bureau of Investigation, unless the local authority determines that the fingerprints of such applicant have been previously taken and the applicant's identity established, and such applicant presents identification that the local authority verifies as valid. The local authority shall record the date the fingerprints were taken in the applicant's file and, within five business days of such date, shall forward such fingerprints or other positive identifying information to the State Police Bureau of Identification which shall conduct criminal history records checks in accordance with section 29-17a. (c) The local authority may, in its discretion, issue a temporary state permit before a national criminal history records check relative to such applicant's record has been received. Upon receipt of the results of such national criminal history records check, the commissioner shall send a copy of the results of such national criminal history records check to the local authority, which shall inform the applicant and render a decision on the application within one week of the receipt of such results. If such results have not been received within eight weeks after a sufficient application for a permit has been made, the local authority shall inform the applicant of such delay, in writing. No temporary state permit shall be issued if the local authority has reason to believe the applicant has ever been convicted of a felony, or that any other condition exists for which the issuance of a permit for possession of a pistol or revolver is prohibited under state or federal law. (d) The commissioner may investigate any applicant for a state permit and shall investigate each applicant for renewal of a state permit to ensure that such applicant is eligible under state law for such permit or for renewal of such permit. (e) No state permit may be issued unless either the local authority or the commissioner has received the results of the national criminal history records check.