This can be achieved in following way:
List<String> list = new ArrayList<String>();
list.add("a");
list.add("b");
list.add("c");
list.add("c");
list.add("b");
list.add("a");
int size = list.size();
for(int i = 0; i<size/2; i++)
{
if(list.get(i) == list.get(size - 1))
System.out.println("list is palindrome");
}