Had bad shivering around midnight in capital city (7)
I believe the answer is:
baghdad
'capital city' is the definition.
'Baghdad' can be an answer for 'city' (Baghdad is an example). I'm not certain of the 'capital' bit.
'had bad shivering around midnight' is the wordplay.
'shivering' indicates anagramming the letters.
'around' is an insertion indicator.
'midnight' becomes 'g' (the middle letter in 'night').
'had'+'bad'='hadbad'
'hadbad' with letters rearranged gives 'bahdad'.
'bahdad' placed around 'g' is 'BAGHDAD'.
'in' is the link.
Can you help me to learn more?
(Other definitions for baghdad that I've seen before include "Iraqi capital" , "Capital of Iraq" , "city abroad" , "capital abroad" .)