Not half unearthing obsession? (5)
I believe the answer is:
thing
'obsession?' is the definition.
(I've seen this in other clues)
'not half unearthing' is the wordplay.
'not half' indicates taking half.
'unearthing' cut in half is 'THING'.
(Other definitions for thing that I've seen before include "An unnamed object or item" , "Individual unit" , "cup of tea" , "Obsession" , "Object, artefact" .)