Earth scientists believe that climate is always dynamic and its dependent on multi factors. Can we see in other view point that Earth's rotation plays a role in controlling local climates.by chance, if altered suddenly, what would anticipated?
You can start by thinking this: 1) Earth rotation's is what causes the Coriolis effect; 2) Coriolis effect affects ocean and atmospheric circulation patterns; 3) Ocean and atmospheric circulation patterns affect heat and water (liquid and vapor) distribution around the globe; 4) Heat and water (liquid and vapor) distribution patterns affect climate pattern. Take it from here!
We do NOT have to worry about a sudden change. There is a really small trend towards a decrease in rotation speed over millions of years, which on this time scale may affect earth through the mechanisms pointed to by Kam. Large earthquakes and changes in surface ice distribution have been known to have some effect on the earth's rotation(see http://www.nature.com/news/2004/041229/full/news041229-6.html ), but these changes are so small that I think we can forget about impact on climate.