Given that he asked in public chat if it was safe to use for misting, I hardly consider it unsolicited advice.

Here are a few quotes from the MSDS for chlorhexidine gluconate:

Section 3: Hazards Identification
Potential Acute Health Effects:
Very hazardous in case of ingestion.
Hazardous in case of skin contact (irritant), of eye contact (irritant), of inhalation.
Non-corrosive for skin.
Non-sensitizer for skin.
Non-permeator by skin.

Potential Chronic Health Effects:
Very hazardous in case of ingestion.
Hazardous in case of skin contact (irritant), of eye contact (irritant), of inhalation.
Non-corrosive for skin.
Non-sensitizer for skin.
Non-permeator by skin.
CARCINOGENIC EFFECTS: Not available.
MUTAGENIC EFFECTS: Not available.
TERATOGENIC EFFECTS: Not available.
DEVELOPMENTAL TOXICITY: Not available.
The substance is toxic to lungs, mucous membranes. Repeated or prolonged exposure to the substance can produce target organs damage.

Section 7:
Handling and Storage
Precautions:Keep away from heat. Keep away from sources of ignition. Empty containers pose a fire risk, evaporate the residue under a fume hood. Ground all equipment containing material. Do not ingest. Do not breathe gas/fumes/vapour/spray. Wear suitable protective clothing In case of insufficient ventilation, wear suitable respiratory equipment. If ingested, seek medical advice immediately and show the container or the label. Avoid contact with skin and eyes
Storage:Keep container dry. Keep in a cool place. Ground all equipment containing material. Keep container tightlyclosed. Keep in a cool, well-ventilated place. Combustible materials should be stored away from extreme heat and away from strong oxidizing agents.

Section 8:
Exposure Controls/Personal Protection
Engineering Controls:
Provide exhaust ventilation or other engineering controls to keep the airborne concentrations of vapors below their respective threshold limit value. Ensure that eyewash stations and safety showers are proximal to the work-station location.
Personal Protection:
Splash goggles. Lab coat. Vapor respirator. Be sure to use an approved/certified respirator or equivalent. Gloves.
Personal Protection in Case of a Large Spill:Splash goggles. Full suit. Vapor respirator. Boots. Gloves. A self contained breathing apparatus should be used to avoid inhalation of the product. Suggested protective clothing might not be sufficient; consult a specialist BEFORE handling this product.
Exposure Limits: Not available.
.