Official context first, then the cleaners whose makers name this grime.
Our explanation written by Grimy Hands
NIOSH lists contact with solvents among the activities where employers should provide gloves and other protective equipment, and HSE lists solvents among some of the more common causes of irritant contact dermatitis. The cleaners below are the ones whose makers name paint or varnish in a claim about hands or skin.
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
Gloves, safety glasses or goggles, shop coats or coveralls, and boots should be provided by employers and worn by workers involved in the following activities (not an exhaustive list):
Big Wipes hand cleansing wipes remove anything from water and oil-based paints to varnishes, silicone sealants, oils, epoxies and stubborn Poly foams and adhesives.
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.
Lava Soap's pumice cleaning power is used by mechanics , DIYers, professionals, hobbyists , gardeners , and more to quickly break through grease, grime, glue, goop, dirt, tar, oil, sap, paint, and anything that can collect on your hands while working on projects.
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)