Eulogy once performed by parent, inspiring one (8)
I believe the answer is:
encomium
'eulogy' is the definition.
(synonyms)
'once performed by parent inspiring one' is the wordplay.
'performed' indicates an anagram.
'by' says to put letters next to each other.
'parent' becomes 'mum' (mum means a mother).
'inspiring' means one lot of letters goes inside another.
'one' becomes 'i' (Roman numeral).
'once' is an anagram of 'enco'.
'enco'+'mum'='encomum'
'encomum' enclosing 'i' is 'ENCOMIUM'.
(Other definitions for encomium that I've seen before include "Eulogy" , "High praise given in speech or writing" , "I commune with speech of high praise" , "Formal expression of praise" , "Um, come in for high praise" .)