Tiny egg blini cooked by the Parisian (10)
I believe the answer is:
negligible
'tiny' is the definition.
(thesaurus)
'egg blini cooked by the parisian' is the wordplay.
'cooked' is an anagram indicator (letters cooked into a new form).
'by' says to put letters next to each other.
'the parisian' becomes 'le' (definite article in French).
'egg'+'blini'='eggblini'
'eggblini' with letters rearranged gives 'negligib'.
'negligib'+'le'='NEGLIGIBLE'
(Other definitions for negligible that I've seen before include "Paltry" , "of no importance" .)