Naples has a mixed reputation among travelers, as it’s fascinating and quite different from the tourist cities to the north, but it’s also edgy and often in the headlines for garbage strikes. Staying safe is pretty easy if that’s your priority.
Another part of the appeal of Naples is that things tend to get cheaper the further south you go in Italy (except for Rome itself), so your budget goes a longer way here. Hotels and hostels tend to be much cheaper than elsewhere, though quality can be dodgy and some neighborhoods are not suited to everyone.
A trip out to Pompeii is the highlight for many people, and it’s a fairly cheap day out, and most of the major attractions in the city tend to be reasonable as well. Food and drinks can feel like bargains in Naples if you’ve come from Rome or Venice, but some of the better deals are off the beaten path and away from the tourist zones.