Lied about daughter and did nothing (5)
I believe the answer is:
idled
'did nothing' is the definition.
(I've seen this before)
'lied about daughter' is the wordplay.
'about' is an anagram indicator.
'daughter' becomes 'd' (genealogical abbreviation).
'lied' with letters rearranged gives 'idle'.
'idle'+'d'='IDLED'
'and' acts as a link.
(Other definitions for idled that I've seen before include "Of engine, just ticked over" , "was unoccupied" , "Did little or nothing" , "Lazed around" , "(Of an engine) ran slowly out of gear" .)