The leachability of pollutants from asbestos-containing waste, previously used for roofing was investigated. Laboratory tests were performed under static conditions (tests 1–20) in accordance with the TCLP methodology (with the use of acetic acid as the leaching medium, initial pH = 3.15). The maintaining of constant leaching conditions proved to be impossible at the experimental stage. Following the stabilization of conditions, the pH range for the obtained solutions increased to an average value of 8.3. Aluminum, boron, barium, cadmium, chromium, copper, iron, nickel, lead, strontium, zinc, and mercury were identified in the eluate. The low leachability of individual metals under the planned conditions was observed. In general, no leaching of such metals as cadmium, nickel, and lead was observed. The mercury content in the eluates is below the quantification limit, but the obtained values fall to around the limit of detection for the element. As compared with leaching with the use of distilled water (Klojzy-Karczmarczyk et al. 2021), zinc and boron additionally appear in eluates. The determined value of leachability for the individual analyzed elements increases from double to a few times with the use of the TCLP method. The value of leaching for barium is on average 5.56 mg/kg, for chromium it is 1.10 mg/kg, for copper 0.26 mg/kg, and for iron 0.80 mg/kg. In addition, the leaching of boron of around 3.00 mg/kg and of zinc 1.84 mg/kg was found. Higher leachability values were found only for strontium and aluminum. The leaching of strontium is on average around 62 mg/kg. While the leaching of aluminum is lower than values identified in the previous tests with the use of distilled water and is around 2.76 mg/kg. Products of leaching contain mainly pollutants characteristic of cement (aluminum, strontium, and iron).