Do insects sleep? Sort of; they take distinct rest periods anyway. Cuckoo bees (subfamily Nomadinae) like this one will hang on to a plant with their mandibles while they catch the equivalent of bug Zzzz’s. I couldn’t quite verify if this is mostly a cuckoo bee behavior — I don’t believe so, but I can’t think of any specifically non-cuckoo examples at the moment. One thing that I do know many bees won’t do, is the cuckoo behavior of laying their eggs in other bees’ nests and having the hosts essentially raise their offspring for them. And yes, the bees (and wasps) who go by “cuckoo” get the moniker from the eponymous bird. Since cuckoo bees do not need to provision for their offspring, they have evolved without pollen-carrying structures such as the pollen baskets (corbiculae) of honey bees.