Set phrase about glutton making inscriptions (9)
I believe the answer is:
epigraphs
'inscriptions' is the definition.
(epigraph is a kind of inscription)
'set phrase about glutton' is the wordplay.
'set' indicates anagramming the letters (instruction to set the letters).
'about' means one lot of letters goes inside another.
'glutton' becomes 'pig' (I've seen this in other clues).
'phrase' is an anagram of 'eraphs'.
'eraphs' placed around 'pig' is 'EPIGRAPHS'.
'making' acts as a link.
(Other definitions for epigraphs that I've seen before include "Engraved inscriptions - Sherpa pig (anag)" , "Introductory words" .)