In the city, it can be hard to go out of turn on the first of the month (6)
I believe the answer is:
durham
'in the city it can' is the definition.
I can't judge whether this defines the answer.
'hard to go out of turn on the first of the month' is the wordplay.
'to go' indicates an anagram (I've seen 'went' mean this ('go' can mean move)).
'out of' is an insertion indicator (some letters on the outside of others).
'turn' becomes 'u' (a 'U-turn' is a kind of turn).
'on' is a charade indicator (letters next to each other).
'the first of' indicates taking the first letters.
The first letter of 'month' is 'm'.
'hard' with letters rearranged gives 'drha'.
'drha' enclosing 'u' is 'durha'.
'durha'+'m'='DURHAM'
'be' is the link.
Can you help me to learn more?
(Other definitions for durham that I've seen before include "Wearside cathedral city" , "NE city" , "Cathedral city of north-east England" , "Bede's resting place" , "English cathedral and university city" .)