These may cut supremo absorbed by wild NHS praise (7,6)
I believe the answer is:
pinking shears
'these may cut' is the definition.
(tools for cutting)
'supremo absorbed by wild nhs praise' is the wordplay.
'supremo' becomes 'king' (both can refer to a person with great authority).
'absorbed by' indicates putting letters inside.
'wild' is an anagram indicator.
'nhs'+'praise'='nhspraise'
'nhspraise' anagrammed gives 'pinshears'.
'king' going within 'pinshears' is 'PINKING-SHEARS'.
(Other definitions for pinking shears that I've seen before include "these cut" , "Scissors with serrated cutting edges" , "Scissors for cutting fabric" , "Scissors with a serrated blade" , "Scissors used to prevent fraying" .)