Official context first, then the cleaners whose makers name this grime.
Our explanation written by Grimy Hands
HSE lists UV cured printing inks among some of the more common causes of allergic contact dermatitis. The cleaners below are the ones whose makers name ink in a claim about hands or skin; none of those claims says anything about allergy.
Our explanation of the official sources quoted below. It adds no facts of its own and doesn't rate or recommend any product.
Official context
These are some of the more common causes of irritant and allergic contact dermatitis:
It is formulated with surfactants, walnut shells and pumice to help exfoliate the skin and remove even the toughest soils – paints, inks, oil and grease.
This creamy-white, viscous hand cleaner harnesses and enhances the natural cleaning powers of citrus oils to penetrate and remove dirt, grease, grime, ink, tar, carbon, resin, paint, adhesive, oil, and asphalt.
The maker's stated use, not a safety recommendation.
General information, not medical advice. HSE: Skin dryness and cracking are early signs of dermatitis and shouldn't be ignored – you should check with your GP or if available, your occupational health service if you notice these signs. (source)