We study the near-horizon geometry of black ring solutions in five-dimensional U(1)(3) supergravity with three electric dipole charges and one angular momentum. We consider the extremal vanishing horizon (EVH) limit of these solutions and show that the near-horizon geometries develop AdS(3) throats locally. At the near-EVH near horizon limit, the AdS(3) factor turns into a BTZ black hole. By analysing the first law of thermodynamics for black rings we show that at the EVH limit, they reduce to the first law of thermodynamics for BTZ black holes. Using the AdS(3)/CFT(2) duality, we propose a dual CFT to describe the near-horizon low energy dynamics of near-EVH black rings. We also discuss the connection between our CFT proposal and the Kerr/CFT correspondence in the cases where these two overlap.
