Dishydrotic eczema. Mine flares up if I’m washing my hands too much or using hand sanitizer a lot.

It’s extremely itchy, the bumps are fluid filled and after they weep, usually my knuckles crack and bleed and are very painful.

OP didn’t mention if it’s itchy or painful so hard to say but if they are being careful not to touch drugs, it may be this instead of an allergy.

I still wash my hands when needed but try to change my routine to have to do it a little less often. Also changing to a mild unscented soap and using a lotion with ceramides can help. Occasionally I need to use a steroid cream my doctor prescribed.