Generally speaking, it is normal for a tattoo to be raised.
While it is not normal for the skin around your tattoo to be puffy, if the tattoo itself is raised for a few days following your session, it is usually not a cause for concern.
Why would my tattoo be raised?
Why Does My Tattoo Still Feel Raised? A tattoo can become raised for a number of reasons. The most common factors that can cause tattoo raising are allergies, tissue damage, certain weather conditions, poor healing and rough tattoo artist work.
Why is my tattoo raised and bumpy?
Allergic reactions.
One of the most common problems is an allergic reaction to tattoo pigment. Allergic reactions to red tattoo pigments are the most common. If you're having an allergic reaction to your tattoo, you might get a rash that's usually red, bumpy, or itchy.