I used to keep yellow throated skinks(also called armored skinks) as a kid. I think the pink tongue skink would have similar care to the blue tongue skink and would really need a 40+ gallon tank with a tropical substrate and so on.
for how I keep leopard geckos is a 20 long tank, a heat lamp or two, moss in a cool hiding spot,and reptile carpet. My geckos are 11-12 years old each.