Not having been told there's no electricity laid on? (2,3,4)
I believe the answer is:
in the dark
'been told there's no electricity laid on?' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.
'not' is the wordplay.
I cannot quite see how this works, but
'not' could be 'nt' (synonyms) and 'nt' is found in the answer.
This may be the basis of the clue (or it may be nonsense).
'having' acts as a link.
Can you help me to learn more?
(Other definitions for in the dark that I've seen before include "without being informed" , "Lacking information" , "overnight" , "without being told" , "after sundown" .)