Girl's daily gamble, missing railway (9)
I believe the answer is:
charlotte
'girl's' is the definition.
(girl's name)
'daily gamble missing railway' is the wordplay.
'daily' becomes 'char' (both can mean a cleaner).
'gamble' becomes 'lottery' (both can mean something subject to chance).
'missing' suggests deleting specific letters.
'railway' becomes 'ry' (abbreviation for railway).
'lottery' with 'ry' removed is 'lotte'.
'char'+'lotte'='CHARLOTTE'
(Other definitions for charlotte that I've seen before include "One of the Bronte sisters" , "associated with the Web?" , "... one of the Brontes" , "Dessert" , "Pudding; girl" .)