Is a glycolic acid treatment healthy for dry flaky skin on the hands? (photos)

I am a surgical tech in a busy OR. The chlorhexadine scrub that we use is very harsh on my hands. The epidermis rubs off when drying my hands. I have sensitive skin so even the Avaguard surgical scrub irritates my skin. Now that it is winter, I'm afraid of my skin drying out to the point of a dermatitis outbreak. I have used glycolic acid treatments on my feet and have been very satisfied with it, just not sure about using it on my hands. Thank you.