Pass half an hour being obstinate (4)
I believe the answer is:
dour
'obstinate' is the definition.
(similar in meaning)
'pass half an hour' is the wordplay.
'pass' becomes 'do' (doing is a kind of passing).
'half an' means to take half the letters.
'hour' with half the letters taken is 'ur'.
'do'+'ur'='DOUR'
'being' acts as a link.
(Other definitions for dour that I've seen before include "Constituent parts" , "Sullen - hard - obstinate" , "Erratic" , "Uncompromising" , "Sullen - unyielding" .)