Trip abroad, oddly to see what Pope wears (5)
I believe the answer is:
tiara
'what pope wears' is the definition.
'trip abroad oddly' is the wordplay.
'oddly' indicates alternate letters.
'trip'+'abroad'='tripabroad'
The alternating letters of 'tripabroad' are 'TIARA'.
'to see' is the link.
(Other definitions for tiara that I've seen before include "Ornamental head band" , "Jewelled headwear" , "It might go to one's head" , "Jewelled hair-band" , "Jewelled head wear" .)