Does its burning cause anger (7)
I believe the answer is:
'anger' is the definition.
(to incense is make angry)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for incense that I've seen before include "It produces a fragrant odour when burnt" , "Make one see red" , "Infuriate" , "Get under someone's skin" , "Cause strong reaction" .)