Experienced hatters use it (4)
I believe the answer is:
felt
'experienced' is the definition.
(feeling is a kind of experiencing)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for felt that I've seen before include "suitable for a fedora" , "Fabric of matted wool fibres" , "investigated in touching way" , "examined by touch" , "Soft fibrous material usually under carpet" .)