Absorbed (4)
'absorbed' is the definition.
(synonyms)
This is the entire clue.
(Other definitions for rapt that I've seen before include "Part being transported" , "Fascinated in part" , "Enraptured, entranced" , "Fully intent, fascinated" , "Spellbound in part" .)
(Other definitions for agog that I've seen before include "In state of wide-eyed expectancy" , "Very eager (to see/hear)" , "Eagerly expectant" , "Enthralled" , "with eyes on stalks" .)