Chase trendy old copier (8)
I believe the answer is:
inscribe
'chase' is the definition.
(chase can mean to etch or engrave)
'trendy old copier' is the wordplay.
'trendy' becomes 'in' ('in' can mean fashionable).
'old copier' becomes 'scribe' (I've seen this in another clue. I am not sure about the 'old' bit.).
'in'+'scribe'='INSCRIBE'
Can you help me to learn more?
(Other definitions for inscribe that I've seen before include "Engrave or write upon" , "Write or carve on something as a lasting record" , "autograph" , "Write or cut words into a surface" , "Engrave; enter (name in list)" .)