Rumpled journalist chasing crew-cut Anglo-Saxon (7)
I believe the answer is:
creased
'rumpled' is the definition.
(synonyms)
'journalist chasing crew-cut anglo-saxon' is the wordplay.
'journalist' becomes 'ed' (short for editor).
'chasing' means one lot of letters go next to another (some letters chase after others).
'cut' means to remove the last letter.
'anglo-saxon' becomes 'AS' (abbreviation for Anglo-Saxon).
'crew' with its final letter taken away is 'cre'.
'cre'+'as'='creas'
'ed' after 'creas' is 'CREASED'.
(Other definitions for creased that I've seen before include "Wrinkled, rumpled" , "Folded" , "Groovy" , "Needing to be ironed?" , "Crumpled - red case (anag)" .)