Annie Lennox, for one (4)
I believe the answer is:
scot
'annie lennox for one' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for scot that I've seen before include "National" , "Eg, a Glaswegian" , "Stevenson was one" , "No longer tax" , "Rabbie Burns, for instance" .)