Brilliant band seen in odd places during trip abroad (5)
I believe the answer is:
tiara
'brilliant band' is the definition.
(metal band worn on the head)
'seen in odd places during trip abroad' is the wordplay.
'seen in odd places during' indicates alternate letters (only the letters in odd-numbered positions).
'trip'+'abroad'='tripabroad'
The alternating letters of 'tripabroad' are 'TIARA'.
(Other definitions for tiara that I've seen before include "it goes to one's head!" , "Woman's headdress for very formal occasions" , "Women's head ornament" , "Pope's triple-tiered crown" , "Jewelled, ornamental headgear" .)