Flipping insolence, ghastly for traveller to shrine (7)
I believe the answer is:
pilgrim
'traveller to shrine' is the definition.
(I've seen this before)
'flipping insolence ghastly' is the wordplay.
'flipping' says the letters should be written backwards.
'insolence' becomes 'lip' (I've seen this before).
'ghastly' becomes 'grim' (I've seen this before).
'lip' in reverse letter order is 'pil'.
'pil'+'grim'='PILGRIM'
'for' is the link.
(Other definitions for pilgrim that I've seen before include "Traveller (who made Progress?)" , "Travelling worshipper" , "Traveller to a holy place" , "One journeying to holy place" , "Wayfarer to holy site" .)