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 working inside the Fishery.
The Jarl will not even mention buying the house until you have completed the skooma quests and also built a reputation in Riften 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.
Honeyside features access from within Riften and from the docks just outside the city. The house comes with a basic kitchen, bedroom, basement with housecarl’s quarters, and a dock. A housecarl, Iona, will be employed when the house is purchased. The garden will regrow after spending 30 in-game days outside of Riften and all its buildings including Honeyside.