Inscription from old record - it needs a quiet hour! (7)
I believe the answer is:
epitaph
'inscription' is the definition.
(epitaph is a kind of inscription)
'old record it needs a quiet hour' is the wordplay.
'old record' becomes 'ep'.
'needs' says to put letters next to each other.
'a quiet' becomes 'ap' (I've seen this in other clues**).
'hour' becomes 'h'.
'ep'+'it'+'ap'+'h'='EPITAPH'
'from' acts as a link.
(Other definitions for epitaph that I've seen before include "Grave inscription" , "message celebrating memories?" , "Tombstone inscription" , "Words written on a gravestone" , "Words carved on a gravestone" .)