Pallid daughter getting stick (4)
I believe the answer is:
wand
'stick' is the definition.
(a wand is a small stick)
'pallid daughter getting' is the wordplay.
'pallid' becomes 'wan' (synonyms).
'daughter' becomes 'd' (genealogical abbreviation).
'getting' means one lot of letters go next to another.
'wan'+'d'='WAND'
(Other definitions for wand that I've seen before include "Wizard's rod" , "Magician's prop" , "Magic baton" , "Magical rod" , "Magician's accessory" .)