I am healing from skin burns caused by antiseptic (savlon), what to do to speed up recovery?

Depends on how deep . Of course I am assuming the offending material has been well washed off. Redness, like a sunburn, can often be treated with a mild steroid. Blistering may require a burn cream. Third degree might require surgery. Best to see a dermatologist or plastic surgeon in person for a true evaluation and plan.