Not for touching (7)
I believe the answer is:
against
This clue is a double definition.
'not for' is the first definition.
(I've seen this in another clue)
'touching' is the second definition.
(eg leaning against something)
(Other definitions for against that I've seen before include "In opposition to" , "Versus - in contact with" , "antagonistic" , "In conflict with" , "In competition with" .)