Summoning up nerve to dispense with the odd act of approval (7)
I believe the answer is:
evoking
'summoning' is the definition.
(evoking is a kind of summoning)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for evoking that I've seen before include "conjuring" , "Calling up memory or emotion" , "Calling up, emotions say" , "Bringing to mind" , "Summoning" .)