A container on private property, in a driveway or inside a fenced job site, is the normal arrangement in Tempe and no city street permit attaches to it.
What Tempe does regulate tightly is who may collect. The code states that only contractors licensed by the city may collect solid waste within Tempe boundaries, and the city defines solid waste widely enough to take in everything a renovation generates. It also defines construction waste and debris as a class of its own, covering dirt, rock, concrete, asphalt, sand, construction and demolition debris, lumber, railroad ties, carpet rolls, plaster and roofing materials. There is no construction exemption anywhere in the chapter. Reading the whole of it, the word exempt does not appear once.
Two consequences follow, and both are practical. First, the licensing side runs through the city's Public Works Department, carries a bond, an annual per-vehicle fee and a city audit right over gross receipts, runs on the city's fiscal year from the start of July, and is not transferable. Second, and this is the part that reaches you directly, the code says containers belonging to companies without that permission may not be placed for use inside the city at all, and that the city may impound a container whose owner cannot be identified or contacted. Every container must carry a company name and phone number on it. So the identity of the company whose container sits on your lot is a city compliance question, not just a commercial one, and your account manager confirms it is in order before anything is scheduled.
The city's own permission is written helpfully from our point of view. The container article states that garbage containers, including roll off containers and compactors, may be supplied by a licensed contractor. The product is named in the permission rather than argued into it.
For the street, Tempe has a real and unusually sensible route. The streets chapter bars obstructing a right-of-way, and then allows temporary obstructions in writing from the City Engineer for construction purposes, where an undue hardship would otherwise result or where safety requires it. There is no fixed day count: the rule is that the obstruction may not stay longer than is needed to accomplish its purpose. That is a more flexible position than a thirty-day cap, and the application goes through the City Engineer rather than a separate licensing counter. Your account manager will point you at the right desk.
One more duty is worth raising at quote stage because it lands on the customer. Tempe requires building owners and contractors, on completion of construction, to remove at their own expense all waste that resulted from the building work, naming lumber scraps, shingles, plaster, brick, stone and concrete. A city that writes that down expects a container on site.