As far as “a day boy” (3)
I believe the answer is:
tod
'boy' is the definition.
'as far as a day' is the wordplay.
'as far as' becomes 'to'.
'a day' becomes 'd' (abbreviation for day).
'to'+'d'='TOD'
(Other definitions for tod that I've seen before include "If you're on it, you're on your own" , "Sly person" , "One's alone on this" , "Fox" , "Former English weight for wool - dot it" .)