Tenor travelled, taking his heart east (6)
I believe the answer is:
orient
'east' is the definition.
(synonyms)
'tenor travelled taking his heart' is the wordplay.
'travelled' indicates anagramming the letters.
'taking' means one lot of letters goes inside another.
'heart' indicates the central letters.
The centre of 'his' is 'i'.
'tenor' anagrammed gives 'orent'.
'orent' placed around 'i' is 'ORIENT'.
(Other definitions for orient that I've seen before include "Acquaint with position" , "43 [POSITION]" , "Face towards the East?" , "Align relative to compass points" , "The mystic East?" .)