Insinuated the little brat spoke falsely (7)
I believe the answer is:
implied
'insinuated' is the definition.
(I've seen this before)
'little brat spoke falsely' is the wordplay.
'little brat' becomes 'imp' (I've seen this in another clue).
'spoke falsely' becomes 'lied' (I've seen this in another clue).
'imp'+'lied'='IMPLIED'
'the' is the link.
(Other definitions for implied that I've seen before include "Suggested; not explicit" , "Indicated by suggestion" , "Tacit" , "Not directly declared" , "Suggested without stating directly" .)