Leaving home for Charlie - that's dramatic (8)
I believe the answer is:
exciting
'dramatic' is the definition.
(I've seen this before)
'leaving home for charlie' is the wordplay.
'leaving' becomes 'exiting' ('exit' can be a synonym of 'leave').
'home for' is an insertion indicator (inserted letters are homed by others).
'charlie' becomes 'C' (phonetic alphabet).
'exiting' going around 'c' is 'EXCITING'.
'that's' acts as a link.
(Other definitions for exciting that I've seen before include "moving" , "Arousing thrill or expectation" , "stirring things up!" , "Arousing strong feeling" , "sexy?" .)