To laud in a new excess of flattery (9)
I believe the answer is:
adulation
'excess of flattery' is the definition.
'adulation' can be an answer for 'flattery' (I've seen this before). I am unsure of the 'excess of' bit.
'to laud in a new' is the wordplay.
'new' is an anagram indicator.
'to'+'laud'+'in'+'a'='tolaudina'
'tolaudina' anagrammed gives 'ADULATION'.
Can you help me to learn more?
(Other definitions for adulation that I've seen before include "Servile flattery" , "Adoration, idolisation" , "Fulsome praise" , "Worshipping" , "pats on the back" .)