To alleviate itching during the healing process, you can try tapping the area gently or applying a fragrance-free, non-alcoholic lotion or cream to moisturize the skin. It's also important to avoid scratching or rubbing the tattooed area, wearing tight clothing, exposing the tattoo to direct sunlight, or soaking the tattooed area in water. If the itching persists or is accompanied by other symptoms such as redness or swelling, you should consult your tattoo artist or a dermatologist.