i have mild eczema, mainly around my joints eg, back of my legs, inside elbows etc. but i have found that after every tattoo i get about a week after im completely healed i get a small amount of eczema around (not on) the area that was tattooeed.
i imagine its because of the trauma to the skin but i use a steroid cream to clear it, trying to avoid applying it onto the inked skin and it hasnt had any effect on the ink at all.
best advice would be to use it sparingly.
dunno if that helps.