Wise men having a different image out East (4)
I believe the answer is:
magi
'wise men' is the definition.
(the three wise men from the nativity)
'a different image out east' is the wordplay.
'a different' indicates anagramming the letters (letters placed in a different order).
'out' is a deletion indicator.
'east' becomes 'e' (abbreviation).
'image' with 'e' removed is 'imag'.
'imag' is an anagram of 'MAGI'.
'having' is the link.
(Other definitions for magi that I've seen before include "Star witnesses" , "Wise men, visitors to Bethlehem" , "Eastern men of lore; Epiphany figures" , "Caspar, Melchior and Balthazar" , "Travellers in NT" .)