Hi Andrew. As the clue is lived, I would have thought the answer would have been DWELT but I don't have the advantage of having the grid in front of me. Best wishes, Caravaggio.
Possibly DWELT (lived) ? In which case 'rummage' would still need rethinking; although other common alternatives to 'rifle' such as 'plunder', 'pillage' and 'ransack' wouldn't seem to help either :(