Amuse daughter with one's leaflet (8)
I believe the answer is:
distract
'amuse' is the definition.
(distracting is a kind of amusing)
'daughter with one's leaflet' is the wordplay.
'daughter' becomes 'd'.
'with' says to put letters next to each other.
'one's' becomes 'is' (roman numeral).
'leaflet' becomes 'tract' (I've seen this in other clues).
'd'+'is'+'tract'='DISTRACT'
(Other definitions for distract that I've seen before include "Confuse" , "Subject to diversion" , "Divert attention or bewilder" , "Sidetrack - bewilder" , "Side track" .)