The house becomes available for purchase during a quest for the Jarl of Riften. The quest can be started at the Fishery outside Riften; look for an Argonian woman (Wujeeta) working inside the Fishery. However, you need not contact her at the Fishery to start the quest since she can be contacted outside work hours to initiate the quest as well.Note that the Jarl will not even mention buying the house until you have completed the associated quests Helping Hand, The Raid and Supply and Demand, and also built a reputation with Riften citizens by doing a few general quests for the people of the town. Honeyside must be purchased from her steward Anuriel in order to complete the quest, and receive the title Thane of Riften.Alternatively, if the player gives Riften to the Empire during Season Unending, Honeyside can be purchased from Hemming Black-Briar without having to complete or begin the quests for the Jarl.______You should consider creating an account here. It comes with several benefits, and also makes it much easier for you to post questions and answers. It's completely free!