Is there any difference between medical and cleaning ozone?
“Medical ozone” is a mixture of 0.05 to 5 vol% of ozone produced from medically pure oxygen (usually via silent electrical discharge) and 99.95 to 95 vol% of oxygen.
Using air for medical-grade ozone production is strictly forbidden due to formation of hazardous nitrogen oxides $\ce{NO_x}.$
Note that ozone therapy is still considered an alternative medicine.

Ozone used for cleaning doesn't have such constrains and its concentration and production method vastly depends on application area and regulatory standards therein.
For example, for water treatment Russian federal standards prescribe the ozone concentration in the ozone-air mixture from 15 to 22 mg/l based on the required efficiency and level of pollution of the water source, and average contact time of 5 to 15 min.
Prolonged exposure or increased ozone concentration during water treatment may lead to unwanted effects such as problems with coagulation and extensive phenols formation.