Drew into conversation, as promised (7)
I believe the answer is:
engaged
'promised' is the definition.
(synonyms)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for engaged that I've seen before include "Busy, occupied" , "Employed - to be married? (7)" , "Busy - fiancee" , "Spoken for" , "Promised - book - fighting" .)