Appropriate report produced initially by American university (5)
I believe the answer is:
usurp
'appropriate' is the definition.
(usurp can mean to take or appropriate from someone)
'report produced initially by american university' is the wordplay.
'initially' says to take the initial letters.
'by' says to put letters next to each other.
'american' becomes 'us' (abbreviation for United States).
'university' becomes 'u' (abbreviation for university).
The initial letters of 'report produced' is 'rp'.
'us'+'u'='usu'
'rp' put after 'usu' is 'USURP'.
(Other definitions for usurp that I've seen before include "Take (power etc) illegally" , "Seize unlawfully" , "Take control of without authority" , "Depose illegally" , "Seize power without authority" .)