The medieval church of All Hallows Honey Lane was destroyed in the Great Fire of London in 1666. It was not rebuilt unlike many others and the parish was combined with the the nearbychurch of St Mary le Bow. However Honey Lane is still there. Its entrance is marked by a carving of a honey bee as you can see in the photo below.
You can see from the map below that Cheapside had a large number of churches before the fire. All that exists of the churches that were never rebuilt are the parish boundary markers. You will find lost of parish markers if you look carefully as you walk up Cheapside in the City of London. See below for a selection of photographs showing these. If you are interested in a walk to tour these lost churches see here for a free downloadable Google Map.
You can find the wikipedia page on All Hallows Honey Lane here
The earliest indications of the existence of the church date from the end of the 12th century. Helias presbyter de Hunilane is mentioned in a deed of 1191 x 1212 and Elias the priest witnessed a grant of land in Honey Lane c. 1200. It had parochial status by 1204 x 1215: quodam managium … in parochia Omnium Sanctorum de Hunilane. A deed of 1216 x 1222 refers to property in the parish of St. Elfegi de Hunilane, but this is the only occurrence of this apparent alternative dedication. (fn. 2)