Argument from father in street (4)
I believe the answer is:
spat
'argument' is the definition.
(thesaurus)
'father in street' is the wordplay.
'father' becomes 'pa' (pa is a kind of father).
'in' means one lot of letters goes inside another.
'street' becomes 'st'.
'pa' placed within 'st' is 'SPAT'.
'from' acts as a link.
(Other definitions for spat that I've seen before include "Minor argument" , "Legging covering instep and ankles" , "Trivial quarrel" , "Observed" , "Made gesture of contempt" .)