Publicity used by Dorothy Perkins (4)
I believe the answer is:
hype
'publicity' is the definition.
(hype is a kind of publicity)
'used by dorothy perkins' is the wordplay.
'used by' indicates a hidden word.
'HYPE' can be found hidden inside 'dorothy perkins'.
(Other definitions for hype that I've seen before include "Excess publicity" , "Sensational publicity" , "Agitate" , "Overblown publicity" , "Over the top publicity" .)