Something I've been thinking about during lockdown is that, while we are for the most part staying at home when possible, if you get sick, you only have, maybe, 4 or 5 contacts to trace, on average. If we release lockdown, the number of average contacts to trace goes way way up.
Without any actual data to hand I would also guess that infections would skew towards people who come into frequent contact with others as part of their job. If true, it would make taking precautions at, for example, the grocery store all the more important because those most likely to be infected are also those who you're most likely to come into contact with in turn.