Careful touching film on DVD, say (8)
I believe the answer is:
discreet
'careful' is the definition.
(discreet can mean careful or tactful with speech)
'touching film on dvd say' is the wordplay.
'touching' becomes 're' (re can mean touching or regarding).
'film' becomes 'ET' (E.T. the Extra-Terrestrial).
'on' means one lot of letters go next to another.
'dvd say' becomes 'disc' (a DVD is a digital versatile disc).
're'+'et'='reet'
'reet' after 'disc' is 'DISCREET'.
(Other definitions for discreet that I've seen before include "Cautious, not giving away secrets" , "Careful in not attracting attention" , "Careful not to attract attention" , "Doesn't blab secrets, cautious" , "Unobtrusive; careful and prudent" .)