Inconvenience in the night but has slept through it (6)
I believe the answer is:
hassle
'inconvenience in the night' is the definition.
'hassle' can be an answer for 'inconvenience' (I have seen 'Irritating inconvenience ' mean 'hassle' so perhaps 'inconvenience' could also mean 'hassle'). I'm unsure of the 'in the night' bit.
'has slept through it' is the wordplay.
'slept through' becomes 'sl' (I am not sure about this - if you are sure you should believe this answer much more).
'it' becomes 'e' ('e' can mean 'electronic' which is similar to 'IT').
'has'+'sl'+'e'='HASSLE'
'but' acts as a link.
Can you help me to learn more?
(Other definitions for hassle that I've seen before include "Harass - grief" , "Difficulty - dispute" , "Colloquial harassment or annoyance" , "Pester (colloq.)" , "Hound" .)