Bizarre demand for incense (6)
I believe the answer is:
madden
'incense' is the definition.
(thesaurus)
'bizarre demand' is the wordplay.
'bizarre' indicates an anagram.
'demand' anagrammed gives 'MADDEN'.
'for' acts as a link.
(Other definitions for madden that I've seen before include "Become extremely angry" , "Demand (anag)" , "Infuriate or drive insane" , "anger" , "Make very angry, even insane (6)" .)