Does a med spa have to register or hold a license in Connecticut?

Short answer
The cited rules do not settle this — they define a med spa as an establishment performing cosmetic medical procedures, excluding licensed health care facilities, and require it to employ or contract a physician, PA, or APRN; no facility license is set out.

Connecticut has a medical spa statute of its own. It defines a medical spa as an establishment in which cosmetic medical procedures are performed, and defines “cosmetic medical procedure” by a FUNCTIONAL test — any procedure directed at improving appearance that does not meaningfully promote the proper function of the body or prevent or treat illness — followed by examples the statute expressly says are not exhaustive, among them cosmetic injections, soft tissue fillers, neurotoxins, dermarolling, dermabrasion beyond the stratum corneum, peels above thirty per cent below pH 3.0, lasers and intense pulsed light. A procedure absent from that list is not thereby outside the statute. Each spa must post the names and specialty areas of the clinicians who perform those procedures at the premises, on any website it maintains, and in a written notice given to each person beforehand. Connecticut licenses the PRACTITIONER, and the amounts are written into the statute in words: no person may practice as an esthetician without a Department of Public Health license or temporary permit, the initial esthetician application fee is one hundred dollars, and a registered hairdresser and cosmetician pays one hundred dollars for examination and one hundred dollars for each renewal. These claims do not carry a salon or facility license fee. On compounded drugs the Pharmacy Practice Act defines compounding to include the preparation of drugs in anticipation of prescriptions based on routine, regularly-observed prescribing patterns, and its sterile-compounding section draws the office-stock line: a sterile compounding pharmacy may only provide PATIENT-SPECIFIC sterile pharmaceuticals to patients, to practitioners of medicine, osteopathy, podiatry, dentistry or veterinary medicine, or to a licensed hospital or health care facility; one that provides sterile pharmaceuticals without a patient-specific prescription or medical order must also hold a Department of Consumer Protection certificate of registration and any required federal license or registration, and may keep no more than a thirty-day on-site inventory of sterile pharmaceuticals.