One who photographs Her Majesty for The Times perhaps (5)
I believe the answer is:
paper
'the times perhaps' is the definition.
(the Times is an example)
'one who photographs her majesty' is the wordplay.
'one who photographs' becomes 'pap' (short for paparazzi).
'her majesty' becomes 'er' (Elizabeth Regina).
'pap'+'er'='PAPER'
'for' acts as a link.
(Other definitions for paper that I've seen before include "Daily publication" , "Telegraph, for example" , "See 10/25/18/20" , "It's made from wood pulp generally" , "Writing sheet(s)?" .)