Push in, interfere (7)
I believe the answer is:
intrude
I believe this clue is a double definition.
'push in' is the first definition.
(I've seen this before)
'interfere' is the second definition.
(thesaurus)
(Other definitions for intrude that I've seen before include "Join in without being invited or wanted" , "Push in unwantedly" , "Push in uninvited" , "Because of temperature, blue" , "Stick one's nose in" .)