Saran wrap is not good for that. You'll risk infecting it, and then it will not only ooze and hurt, but it could ruin your ink.
A clean, dry bandage that covers the area will be fine. If it is blistering, oozing, or bleeding, better stay out of contaminated areas for a while.
Most professional tats don't pose a problem as long as you keep it dry and clean and use the ointment.