Where Durham divers go, making bloomers perhaps (9)
I believe the answer is:
underwear
This clue could be a double definition.
'where durham divers go' is the first definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.
'bloomers perhaps' is the second definition.
(bloomers are a type of underwear)
'making' acts as a link.
(Other definitions for underwear that I've seen before include "what lies beneath that uniform!" , "Endure war about smalls" , "Vests, knickers etc" , "Lingerie" , "Garments worn beneath other clothes" .)