Drama introduces Harry: touching figure! (7)
I believe the answer is:
nonagon
'figure' is the definition.
(shape or figure with 9 sides)
'drama introduces harry touching' is the wordplay.
'drama' becomes 'no' (Noh or No is a Japanese masked drama).
'introduces' says to put letters next to each other.
'harry' becomes 'nag' ('harry' can mean 'to persistently bother').
'touching' becomes 'on'.
'no'+'nag'+'on'='NONAGON'
(Other definitions for nonagon that I've seen before include "Figure with nine sides" , "Nine-sided figure" , "geometric figure" , "Figure with nine, twenty-one Dn" , "regular figure" .)