Terribly bored, but dressed (5)
I believe the answer is:
robed
'dressed' is the definition.
(synonyms)
'terribly bored' is the wordplay.
'terribly' is an anagram indicator.
'bored' is an anagram of 'ROBED'.
'but' acts as a link.
(Other definitions for robed that I've seen before include "Wearing judge's garments" , "Attired" , "Dressed" , "In a long garment" .)