Bishop given honour has this crowd turning up (3)
I believe the answer is:
mob
'this crowd turning up' is the definition.
'mob' can be an answer for 'crowd' (mob can mean a crowd of people). I'm not certain of the remainder of the definition.
'bishop given honour' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'given' means one lot of letters go next to another.
'honour' becomes 'mo' (I can't explain this - if you can you should believe this answer much more).
'b' put after 'mo' is 'MOB'.
'has' is the link.
(Other definitions for mob that I've seen before include "Ugly crowd" , "Rowdy lot" , "Kind of cap" , "Large, disorderly crowd" , "press round" .)