Enraptured current chaps score romantically (13)
I believe the answer is:
sentimentally
'romantically' is the definition.
'enraptured current chaps score' is the wordplay.
'enraptured' becomes 'sent' (sent can mean transported or absorbed).
'current' becomes 'i' (symbol for electric current).
'chaps' becomes 'men' (I've seen this before).
'score' becomes 'tally' (synonyms).
'sent'+'i'+'men'+'tally'='SENTIMENTALLY'
(Other definitions for sentimentally that I've seen before include "in nostalgic way" , "Sloppily" , "in mawkish fashion" .)