Transported convict finally after criminal charge (4)
I believe the answer is:
rapt
'transported' is the definition.
(both can mean enchanted or fascinated)
'convict finally after criminal charge' is the wordplay.
'finally' suggests the final letters.
'after' is a charade indicator (letters next to each other).
'criminal charge' becomes 'rap' (as in taking the rap for something).
The last letter of 'convict' is 't'.
't' put after 'rap' is 'RAPT'.
(Other definitions for rapt that I've seen before include "Taken up entirely" , "Engrossed, spellbound" , "Ecstatic in part" , "Spellbound in part" , "Enthralled, captivated" .)