Every one going back and forth, the race frantic around house (4,5)
I believe the answer is:
each other
'every one going back and forth' is the definition.
'the race frantic around house' is the wordplay.
'frantic' is an anagram indicator.
'around' is an insertion indicator.
'house' becomes 'ho' (abbreviation for house).
'the'+'race'='therace'
'therace' anagrammed gives 'eacther'.
'eacther' enclosing 'ho' is 'EACH OTHER'.
(Other definitions for each other that I've seen before include "One another" , "All the remaining members of the group" .)