A review of the literature. One competent peer reviewed study was done. And diluted Clorox (sodium hypochlorite) is being used as a rinse, spray, wipe, etc. to combat germs in the skin which may be resistant to conventional antibiotic therapy.

Fran Bankovic also found an anti-inflammatory effect.

Bleach or sodium hypochlorite THIS IS THE BEST DOCUMENT

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Bleach Baths- Use, Instruction, and Side Effects — DermNet

Topical Treatment of Canine Superficial Pyoderma – Edit

Sodium Hypochlorite-Salicylic Acid Shampoo for Treatment of Canine Staphylococcal Pyoderma – PubMed

Diluted sodium hypochlorite (bleach) in dogs- antiseptic efficacy, local tolerability and in vitro effect on skin barrier function and inflammation – PubMed