Completely absorbed, rapt (9)
I believe the answer is:
engrossed
This clue is a double definition.
'completely absorbed' is the first definition.
(I've seen this before)
'rapt' is the second definition.
(synonyms)
(Other definitions for engrossed that I've seen before include "Deeply engaged" , "Consumed" , "Captive" , "Totally absorbed" , "Preoccupied" .)