Reach end of session consumed by anger (5)
I believe the answer is:
range
'reach' is the definition.
('range' can be a synonym of 'reach')
'end of session consumed by anger' is the wordplay.
'end of' says to take the final letters.
'consumed by' means one lot of letters goes inside another.
'anger' becomes 'rage' (rage is a kind of anger).
The final letter of 'session' is 'n'.
'n' placed inside 'rage' is 'RANGE'.
(Other definitions for range that I've seen before include "Number of items in a series" , "spread?" , "Set in a row" , "Distance aircraft can travel" , "Cooking stove or place for target practice" .)