Observe article that makes you show anger (6)
I believe the answer is:
seethe
'show anger' is the definition.
(to seethe is to be very angry)
'observe article' is the wordplay.
'observe' becomes 'see' (I've seen this in other clues).
'article' becomes 'the' (the definite article in English).
'see'+'the'='SEETHE'
'that makes you' acts as a link.
(Other definitions for seethe that I've seen before include "get very angry" , "Bubble gently just below boiling point" , "Boil or become very angry" , "Be filled with intense but unexpressed anger" , "become agitated" .)