Make-up remains on daughter, hastily and carelessly done (8)
I believe the answer is:
slapdash
'hastily and carelessly done' is the definition.
(slapdash means careless or rushed)
'make-up remains on daughter' is the wordplay.
'make-up' becomes 'slap' (informal term for make-up).
'remains' becomes 'ash' (remains of a fire).
'on' means one lot of letters go next to another.
'daughter' becomes 'd' (genealogical abbreviation).
'ash' put after 'd' is 'dash'.
'slap'+'dash'='SLAPDASH'
(Other definitions for slapdash that I've seen before include "Careless - slack" , "Cowboy" , "disorganised" , "Careless - haphazard" , "Perfunctory" .)