Thurible’s contents anger (7)
I believe the answer is:
incense
This clue is a double definition.
'thurible's contents' is the first definition.
(a thurible is an incense holder)
'anger' is the second definition.
(incensing is a kind of angering)
(Other definitions for incense that I've seen before include "Fragrant substance to drive to anger" , "Enrage greatly" , "Get under someone's skin" , "Sweet-smelling spice" , "Grains burnt in church etc" .)