Ran fingers over fabric (4)
I believe the answer is:
felt
I believe this is a double definition.
'ran fingers over' is the first definition.
'fabric' is the second definition.
(felt is a kind of fabric)
(Other definitions for felt that I've seen before include "Touched the carpet underlay" , "examined by touch" , "Touched; a soft material" , "Touched - experienced" , "woolly material" .)