My L. claviger queen has laid eggs! A bunch of them too.
They seem to love honey but haven't accepted protein yet (makes sense). Anyone know what kinds of proteins they do eat? Also how long from egg-larvae-brood?
Awesome! They will take any common insect (crickets, spiders, flies, grasshoppers, etc.). Just break off a leg or something and place it on a piece of foil and slide it in there. They probably won't eat it until the eggs form into larvae, but it's better to have it available and them not need it than the alternative. Replace it every couple days so it doesn't mold, and clean up any old remnants with tweezers.
As far as the length of the different stages of growth, somebody else will need to answer that because I unfortunately don't know. I do know that it might take up to six weeks from egg to adult worker, chances are it will go quicker, but don't be alarmed if it doesn't.