Distant object associated with girl’s old bike (5-8)
I believe the answer is:
penny-farthing
'old bike' is the definition.
(type of Victorian bicycle)
'distant object associated with girl's' is the wordplay.
'distant' becomes 'far' (similar in meaning).
'object' becomes 'thing' (an object is a thing or item).
'associated with' says to put letters next to each other.
'girl' becomes 'penny' (woman's name).
'far'+'thing'='farthing'
'farthing' put after 'penny' is 'PENNY-FARTHING'.
(Other definitions for penny-farthing that I've seen before include "Old bicycle" , "Early type of bicycle" , "Forerunner of modern bicycle" , "Ordinary - early bicycle" .)