Adornments for horse carriage has swine pinching some number (9)
I believe the answer is:
trappings
'adornments' is the definition.
(thesaurus)
'horse carriage has swine pinching some number' is the wordplay.
'horse carriage' becomes 'trap' (type of horse-drawn carriage).
'has' says to put letters next to each other.
'swine' becomes 'pigs' (swine means pigs).
'pinching' is an insertion indicator (taking inside).
'some number' becomes 'n' (n can represent any number).
'pigs' enclosing 'n' is 'pings'.
'trap'+'pings'='TRAPPINGS'
'for' acts as a link.
(Other definitions for trappings that I've seen before include "signs of success" , "Clobber" , "harness" , "Symbolic accessories of office" , "Bells and whistles" .)