Mean greeting leads to violent anger (7)
I believe the answer is:
average
'mean' is the definition.
(synonyms)
'greeting leads to violent anger' is the wordplay.
'greeting' becomes 'ave' (Latin greeting).
'leads to' is a charade indicator (letters next to each other).
'violent anger' becomes 'rage' (I've seen this in another clue).
'ave'+'rage'='AVERAGE'
(Other definitions for average that I've seen before include "Arithmetic mean" , "Mediocre, commonplace" , "The statistical norm" , "It may be mean" , "representative figure?" .)