Technically, blue-tongued skinks can eat cucumbers without any issues. There are however very few reasons you would want to feed your pet lizard cucumbers in the first place: they are very poorly nutritionally, as they mostly contain water and not much else.
Cucumbers are then to be considered a refreshing treat that can help your blue tongue skink stay hydrated but should not be a staple in their diet, as there are many much more nutritious and healthier options out there.
PetsWithScales.com is an informational website about big lizard pet care. We collect and provide information from different sources across the web on how to keep and care for reptiles as pets. The species we mainly deal with are tegus, monitor lizards, skinks and geckos. Our aim is to provide high quality information to help pet owners make better, more informed decisions about their animal’s diets, health and life.