Boots of speed give you haste for up to 10 rounds a day. That includes the +1 dodge bonus to AC.
I can't think of anything that gives dodge AC continuously. Maybe there's an item with constant haste out there.
Edit: Closest I could find was a blue orb of dragonkind, which you can use to cast haste effectively at will. That's a major artifact, though.
Only a 3.5 Pathfinder Chronicles item, a barbed pentacle of Asmodeus. That may or may not be PFS legal; I think I've seen them use pre-PFRPG stuff before so long as it's Paizo.
The tables do support creating objects of any slot with a deflection bonus to AC. Slot affinity does not exist in Pathfinder unless the GM decides it exists; a custom duster of dodgeflection could provide both dodge and deflection bonuses as a robe item via the tables. So any rule saying that it can't be done is a house rule--and any rule saying that it can be done is also a house rule. If you're the GM, use your judgment.
It specifically states that you can't have magic items that grant dodge bonuses to AC because Dodge bonuses are the only ones that stack with themselves.
Granting it via Haste is a different matter, but there are no items that grant Dodge Bonuses directly.
Runeforged weapons
http://www.d20pfsrd.com/magic-items/magic-weapons/magic-weapon-special-abil ities/runeforged