The gold-digger's department of expertise? (6)
I believe the answer is:
mining
'expertise?' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for mining that I've seen before include "Excavating (coal, ore)" , "Laying down explosives" , "non-renewable industry" , "Extracting ores or coal from the earth" , "Excavating (ores)" .)