These publication may be beneficial for you

best wishes

randheer

This one might also be interesting, the authors used U111 to study permafrost presence in Siberia since the last 500ky.

First of all, you need a good sample

2) the key, precisely dating the sample

3) measuring isotope(s) content of oxygen, carbon, or hydrogen

4) analyzing the relationship between proxies and climate

Please check out these papers by Prof Paul Williams

First, what kind of speleothem (cave speleothem, tufa or travertine ?) is your's ?

If tufa and travertine (fresch water carbonates), see Capezzuoli and al. Sedimentology, 2013, doi: 10.1111/sed.12075

It's good to read the book by Ian J. FairChild and Andy Baker "Speleothem Science---from process to past environment" Published by Wiley-Blackwell Press. 

Please refer to the publications by Dr. Hai Cheng, Yongjin Wang(Nanjing Normal University), Yanjuncai(Institute of earth environment,CAS) etc. 

Speleothems are good archives of paleoclimate. First, demarcate what is type of speleotherms which you are gonging study. As metion by L.Yi. After that  with aid of geochemical proxies, isotopic signatures and their precise dating, one can infer their paleoclimate. Read following papers.

ftp://ftp.ncdc.noaa.gov/pub/data/paleo/speleothem/speleothems.pdf

http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=1012&context=nckms_2013

http://www.pages-igbp.org/download/docs/magazine/2014-1/PAGESmagazine_2014(1)_22-23_Tan_et_al.pdf

Dear Suresh,

The attached file is a chapter of the "Global changes in the Holocene" which is a valuable text for understanding about use of the speleothems for reconstructing past climates.