The five star movement is backpedaling on his EU positions greatly (there was a scandal of many declarations and posts deleted from their official site), and even then, they rode an anti-euro sentiment more than an anti EU one. They wanted a referendum on the euro as part of their campaign, nowadays they'd probably not bother cause the sentiment is not there anymore.
Italians are on average the most distrustful of the EU of all europeans citizens (after greeks iirc), but we're also much more distrustful of our government on average, and as such would overwhelmingly vote to stay in the EU (i can't find statistics now backing this, but i've heard this many times from statisticians on TV). I guess it's a form of political pragmatism after having 20+ years of populist governments fucking us in the ass all over even worse than the usual corrupt center-left coalitions. Thanks Silvio i guess.
Finally, even if all the stars aligned and somehow we wanted to do a referendum to leave the EU, we couldn't. The Italian constitution, art.75, state that:
- referendum can not be made on matter of international agreements/pacts/contracts, financial laws, and on the matter of amnisty and pardon
So we'd have to change the constitution first. Which require (again, iirc, i studied those things years ago) 3 votes in the chambers at 66%+1 majority, or 3 votes at 50%+1 majority and a national referendum voting in favor.
Bet what you want, Italy won't get out of the EU bar some cataclysmic event like the crac of the German economy.