It really depends on your contractor. "Lead safe," despite the regulations, seems to mean different things to different people. Some do nothing different, some put up some plastic sheeting but then leave it unzipped, some just clean up a bit before they leave, and some actually spend a full day or more doing the lead safe set up.
Do you have young kids, and will you be living there? If so, I'd look for someone who - when asked very pointed questions - tells you convincingly that they do the latter.
When it is all day, get a lead dust test done for your peace of mind.