Difficulty with pressure cutting narrow, thin material (6,5)
I believe the answer is:
tissue paper
'thin material' is the definition.
'tissue paper' can be an answer for 'material' (tissue paper is a kind of material). I'm not sure about the 'thin' bit.
'difficulty with pressure cutting narrow' is the wordplay.
'difficulty with' becomes 'issue' (I can't explain this - if you can you should believe this answer much more).
'pressure' becomes 'p' (abbreviation).
'cutting' is an insertion indicator (some letters cut their way into a word).
'narrow' becomes 'taper' (I've seen this before).
'issue'+'p'='issuep'
'issuep' put within 'taper' is 'TISSUE-PAPER'.
Can you help me to learn more?
(Other definitions for tissue paper that I've seen before include "delicate sheets" , "There may be a valuable article in it!" , "Kleenex" , "Wrapping for delicate objects" .)