Claims no drunk can display brevity (8)
I believe the answer is:
laconism
'display brevity' is the definition.
'laconism' can be an answer for 'brevity' (thesaurus). I am not certain of the 'display' bit.
'claims no drunk' is the wordplay.
'drunk' indicates anagramming the letters.
'claims'+'no'='claimsno'
'claimsno' with letters rearranged gives 'LACONISM'.
'can' acts as a link.
Can you help me to learn more?
(Another definition for laconism that I've seen is " Brevity in speech or writing; is no clam (anag.)".)