Sort of door and cookware found in university town in Kent (2-3-4)

I believe the answer is:
up-and-over
'sort of door' is the definition.
(up-and-over is a type of door)
'cookware found in university town in kent' is the wordplay.
'cookware' becomes 'pan' (pan is a kind of cookware).
'found in' is an insertion indicator.
'university' becomes 'U' (abbreviation for university).
'town in kent' becomes 'dover' (I can't explain this - if you can you should give a lot more credence to this answer).
'u'+'dover'='udover'
'pan' placed inside 'udover' is 'UP-AND-OVER'.
'and' is the link.
Can you help me to learn more?
(Another definition for up-and-over that I've seen is " (Of door) rising into horizontal position".)
