This paper deals with clumped isotope and oxygen isotope thermometric analyses as well as trace element concentration measurements of Miocene speleothem pieces from an area which is rarely investigated. The paper is well written, easy to follow, and concise enough. In addition to the paleoclimatic interpretations of thermometric and geochemical results, the data are compared with results of local paleoclimate studies and are evaluated with respect to global climate change processes. This would also mean that reviewing the paper requires different expertise, and I’ll concentrate on the speleothem geochemistry part. In summary, I recommend acceptance after minor revision. Comments suggesting minor changes are given below.

Anderson et al. (2021) use the D47crunch algorithm whereas the present paper uses the Easotop algorithm. In addition to the different regression calculation of the present study and that of Anderson et al., the two algorithms may also yield different temperatures. I suggest to recalculate the clumped isotope data with the D47crunch algorithm and compare the temperatures obtained with the different regressions in Table3.

Compared with Table 1, Table 3 contains only the temperatures yielded by the original Anderson et al. regression as a plus. I think the two tables can be combined.

The temperatures obtained using the two regressions differ by 3.5 °C, but due to the small number of data it is not certain which calibration is better. Using the regression based on data similar to the present study makes sense, but the narrower temperature range means also increased uncertainty in the regression slope.

Using the temperatures of the Anderson et al. regression the δ¹⁸Odw values are shifted only by +0.7 ‰, which is still close to the fluid inclusion composition. It would be interesting to use the D47crunch algorithm and the related temperatures, and include all these into the uncertainty calculations.

line 371: Sr-Mg correlation may also be produced by changing precipitation amount and dilution effect. The precipitation amount effect is also indicated by the P/Ca changes and the anticorrelation with Sr and Mg concentrations. Wetter climate would mean improved soil activity, higher P concentration, but dilution of Sr and Mg in the karstic water. Of course arid climate would also mean evaporation along the water migration route and related PCP, so the Sr and Mg concentrations can be affected by dilution and PCP changes together.

Please see attached pdf.