Father found in street argument (4)
I believe the answer is:
spat
'argument' is the definition.
(thesaurus)
'father found in street' is the wordplay.
'father' becomes 'pa' (pa is a kind of father).
'found in' means one lot of letters goes inside another.
'street' becomes 'st'.
'pa' going inside 'st' is 'SPAT'.
(Other definitions for spat that I've seen before include "Expelled" , "Old-fashioned legwear" , "Quarrel about petty point" , "Gestured with contempt" , "Pat's involved in squabble" .)