In economics, I have not seen an evaluation of particular skill like the one you mention. However, there is a large literature evaluating the effect of cognitive and non-cognitive (or socio-emotional, as others call it) skills on wages. This is not as fine as you are asking for, but it is clearly a way forward from established approaches like "years of education" or "type of degree".
A very recent reference, and very comprehensive in terms of methods (albeit a rather complex paper) comes from the man himself, Heckman. Here is the paper. An important result is here (from page 43):
Very interestingly, cognitive ability are much more important than socio-emotional ability for contemporaneous wages, ceteris paribus. However, the next graph (not shown) highlights that for the present value of wages (so, including career progression), socio-economic ability is as important as cognitive ability.
As I said, there are hundreds of papers on this area. Here is just one other example, comparing cognitive and non-cognitive ability and labour market returns in Sweden. If you google (or search in http://econpapers.repec.org/) "cognitive non-cognitive ability return wages" or related, you get tons of hits.