Tiny little daughter fighting shark? (8)
I believe the answer is:
dwarfish
'tiny' is the definition.
(thesaurus)
'little daughter fighting shark?' is the wordplay.
'little' suggests taking the first letters.
'fighting' becomes 'war'.
'shark?' becomes 'fish' (sharking is a kind of fishing).
The initial letter of 'daughter' is 'd'.
'd'+'war'+'fish'='DWARFISH'
(Other definitions for dwarfish that I've seen before include "Despicable" , "Unusually small (in stature)" , "on the small side" .)