Unpleasantly damp part of old Ankara (4)
I believe the answer is:
dank
'unpleasantly damp' is the definition.
(I've seen this before)
'part of old ankara' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'DANK' can be found hidden inside 'old ankara'.
(Other definitions for dank that I've seen before include "Unpleasantly cold and humid" , "Unpleasantly cool and damp" , "Unpleasantly cool and humid" , "Unpleasantly wet and cold" , "Chilly and clammy" .)